BPS polynomials and Welschinger invariants | Paper Citation Record

Observation e453eb81-31d2-4c01-8648-5b1f6d28b882 · outbound

This paper cites The formula 12 = 10 + 2 × 1 and its generalizations: counting rational curves on F2.

BPS polynomials and Welschinger invariants The formula 12 = 10 + 2 × 1 and its generalizations: counting rational curves on F2

Reference 1

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Observation 5f28199c-4f4a-4b9b-b4d2-2d29b9ce2abf · outbound

This paper cites Stable logarithmic maps to Deligne-Faltings pairs II.

BPS polynomials and Welschinger invariants Stable logarithmic maps to Deligne-Faltings pairs II

Reference 2

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Observation 07858531-4343-4dfc-8f96-3609c188753a · outbound

This paper cites Decomposition of degenerate Gromov- Witten invariants.

BPS polynomials and Welschinger invariants Decomposition of degenerate Gromov- Witten invariants

Reference 3

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Observation 47c2f767-938e-4441-b32f-8935d74144cf · outbound

This paper cites Refinements of Kool-Thomas Invariants via Equivariant $K$-theoretic invariants.

BPS polynomials and Welschinger invariants Refinements of Kool-Thomas Invariants via Equivariant $K$-theoretic invariants

Reference 4

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Observation c0f96f03-cefc-4a02-8150-e80ed6cc0d2b · outbound

This paper cites Real loci in (log) Calabi-Yau manifolds via Kato-Nakayama spaces of toric degenerations.

BPS polynomials and Welschinger invariants Real loci in (log) Calabi-Yau manifolds via Kato-Nakayama spaces of toric degenerations

Reference 5

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Observation 34af108e-379c-42b2-a744-824697c821a1 · outbound

This paper cites Recursive formulas for Welschinger in- variants of the projective plane.

BPS polynomials and Welschinger invariants Recursive formulas for Welschinger in- variants of the projective plane

Reference 6

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Observation 81a120cc-3aeb-4ffc-ad99-fe3ddaa82280 · outbound

This paper cites Gromov-Witten invariants in algebraic geometry.

BPS polynomials and Welschinger invariants Gromov-Witten invariants in algebraic geometry

Reference 7

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Observation 87789940-f9d8-4bd5-b345-2a6ea49f9990 · outbound

This paper cites The product formula for Gromov-Witten invariants.

BPS polynomials and Welschinger invariants The product formula for Gromov-Witten invariants

Reference 8

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Observation f2fe1e29-c4e7-40f9-8138-0a4073955149 · outbound

This paper cites Refined curve counting with tropical geometry.

BPS polynomials and Welschinger invariants Refined curve counting with tropical geometry

Reference 9

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Observation 99173631-5b8c-424a-ab7c-1e4a0f39ef6e · outbound

This paper cites Refined count of oriented real rational curves.

BPS polynomials and Welschinger invariants Refined count of oriented real rational curves

Reference 10

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Observation 90f18029-871f-4685-b97e-08e44174a966 · outbound

This paper cites Tropical refined curve counting from higher genera and lambda classes.

BPS polynomials and Welschinger invariants Tropical refined curve counting from higher genera and lambda classes

Reference 11

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Observation 4c467a83-a1b8-4993-9517-cd11dad49326 · outbound

This paper cites Tropical refined from higher genera and lambda classes.

BPS polynomials and Welschinger invariants Tropical refined from higher genera and lambda classes

Reference 12

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Observation cb98608a-c33c-422a-9529-54aadd1269fa · outbound

This paper cites Refined floor diagrams from higher genera and lambda classes.

BPS polynomials and Welschinger invariants Refined floor diagrams from higher genera and lambda classes

Reference 13

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Observation 79edfed5-e2e6-449f-b07c-5e652283d10b · outbound

This paper cites A proof of N.

BPS polynomials and Welschinger invariants A proof of N

Reference 14

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Observation e8d0e2bd-4339-4425-87fe-261cc3f95c30 · outbound

This paper cites Stable maps to Looijenga pairs.

BPS polynomials and Welschinger invariants Stable maps to Looijenga pairs

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:22:51.445807Z

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Observation f82a394b-f50e-4403-bcba-ac1bc258e121 · outbound

This paper cites All-genus WDVV recursion, quivers, and BPS invariants.

BPS polynomials and Welschinger invariants All-genus WDVV recursion, quivers, and BPS invariants

Reference 16

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Observation 105b8f54-fa65-4db2-85f5-8758e1943ee9 · outbound

This paper cites Refined Gromov-Witten invariants.

BPS polynomials and Welschinger invariants Refined Gromov-Witten invariants

Reference 17

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Observation 6f6564b2-ef12-47b2-ae87-e31f53b7e96f · outbound

This paper cites Floor diagrams relative to a conic, and GW-W invariants of del Pezzo surfaces.

BPS polynomials and Welschinger invariants Floor diagrams relative to a conic, and GW-W invariants of del Pezzo surfaces

Reference 18

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Observation b0ada2ea-5d50-4434-a313-8669aba7ea38 · outbound

This paper cites On the invariance of Welschinger invariants.

BPS polynomials and Welschinger invariants On the invariance of Welschinger invariants

Reference 19

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Observation a6c70df7-79cd-4092-99a4-81f5ed97f57d · outbound

This paper cites Enumeration of curves via floor diagrams.

BPS polynomials and Welschinger invariants Enumeration of curves via floor diagrams

Reference 20

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Observation 885a35a6-544d-41f9-a09c-edb72a99d009 · outbound

This paper cites Floor decompositions of tropical curves: the planar case.

BPS polynomials and Welschinger invariants Floor decompositions of tropical curves: the planar case

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:22:50.958166Z

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Observation dd5e75dc-b651-4e1b-b7ba-60f4a636bea5 · outbound

This paper cites Behavior of Welschinger invariants under Morse simplifications.

BPS polynomials and Welschinger invariants Behavior of Welschinger invariants under Morse simplifications

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:22:50.842800Z

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Observation 0af80919-6150-496c-ae2d-58a195cf55cc · outbound

This paper cites On Welschinger invariants of symplectic 4-manifolds.

BPS polynomials and Welschinger invariants On Welschinger invariants of symplectic 4-manifolds

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:22:50.704428Z

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Observation 63f45a38-31e0-4762-953c-0796fab17dea · outbound

This paper cites The local Gromov-Witten theory of curves.

BPS polynomials and Welschinger invariants The local Gromov-Witten theory of curves

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:22:50.577843Z

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Observation 9e78a913-6ece-49bb-a452-7a6bb970ecb0 · outbound

This paper cites Counting curves on Hirze- bruch surfaces: tropical geometry and the Fock space.

BPS polynomials and Welschinger invariants Counting curves on Hirze- bruch surfaces: tropical geometry and the Fock space

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:22:50.461244Z

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Observation 93886f8d-6e96-422c-a1bd-6ba7a343da07 · outbound

This paper cites Tropical and logarithmic methods in enu- merative geometry, volume 52 of Oberwolfach Seminars.

BPS polynomials and Welschinger invariants Tropical and logarithmic methods in enu- merative geometry, volume 52 of Oberwolfach Seminars

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:22:50.341887Z

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Observation f013f887-45ff-4399-a042-d19e46a209e3 · outbound

This paper cites Steenrod pseudocycles, lifted cobordisms, and Solomon’s relations for Welschinger invari- ants.

BPS polynomials and Welschinger invariants Steenrod pseudocycles, lifted cobordisms, and Solomon’s relations for Welschinger invari- ants

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:22:50.196758Z

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Observation e17f4093-7530-4af7-a66e-516cdf55148a · outbound

This paper cites WDVV-type relations for Welschinger invariants: applications.

BPS polynomials and Welschinger invariants WDVV-type relations for Welschinger invariants: applications

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:22:50.046338Z

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Observation a39bcd7d-23e0-4439-83d3-9c255a48dccf · outbound

This paper cites Counting real J-holomorphic discs and spheres in dimension four and six.

BPS polynomials and Welschinger invariants Counting real J-holomorphic discs and spheres in dimension four and six

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:22:49.875815Z

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Observation 1ac271a9-e579-499c-835e-03cea69e5bd6 · outbound

This paper cites Real Enriques surfaces , volume 1746 of Lecture Notes in Mathematics.

BPS polynomials and Welschinger invariants Real Enriques surfaces , volume 1746 of Lecture Notes in Mathematics

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:22:49.688876Z

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Observation 0eaaa98b-6f8c-4908-9f03-6a207081d78a · outbound

This paper cites The Gopakumar-Vafa finiteness conjec- ture.

BPS polynomials and Welschinger invariants The Gopakumar-Vafa finiteness conjec- ture

Reference 31

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Observation 4d09a2b5-8d10-4a6f-9b26-d32b83f4db19 · outbound

This paper cites Counting embedded curves in symplectic 6-manifolds.

BPS polynomials and Welschinger invariants Counting embedded curves in symplectic 6-manifolds

Reference 32

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:22:49.513533Z

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Observation 1ba390fb-fa4a-4fa5-a3c9-e1195708c9f0 · outbound

This paper cites Notes on stable maps and quantum cohomology.

BPS polynomials and Welschinger invariants Notes on stable maps and quantum cohomology

Reference 33

Resolution: unresolved; no resolver link, observed 2026-08-07T11:22:40.110358Z

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Observation f8e62c8e-d02b-4d29-bcdb-a5478f8e4d95 · outbound

This paper cites Open Gromov-Witten disk invariants in the presence of an anti-symplectic involution.

BPS polynomials and Welschinger invariants Open Gromov-Witten disk invariants in the presence of an anti-symplectic involution

Reference 34

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:22:49.369427Z

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Observation 10a17f19-0996-484a-8b1c-3d29e70d2137 · outbound

This paper cites M-Theory and Topological Strings–I.

BPS polynomials and Welschinger invariants M-Theory and Topological Strings–I

Reference 35

Resolution: unresolved; no resolver link, observed 2026-08-07T11:22:40.119238Z

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Observation 66cadae0-dce2-4b53-bc66-b8d91c735cd0 · outbound

This paper cites M-theory and topological strings–II.

BPS polynomials and Welschinger invariants M-theory and topological strings–II

Reference 36

Resolution: verified exact; raw_fallback, observed 2026-08-07T11:22:40.685674Z

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Observation 3751fc22-e760-4854-824c-e5980fd4488b · outbound

This paper cites The quantum cohomology of blow-ups ofP2 and enumera- tive geometry.

BPS polynomials and Welschinger invariants The quantum cohomology of blow-ups ofP2 and enumera- tive geometry

Reference 37

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:22:49.172639Z

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Observation d95b87d0-b7c4-407e-be4a-555674d427f0 · outbound

This paper cites Refined curve counting on complex surfaces.

BPS polynomials and Welschinger invariants Refined curve counting on complex surfaces

Reference 38

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:22:49.003577Z

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Observation b102adb1-ecbb-47cd-9080-b29ad0bac4f3 · outbound

This paper cites Localization of virtual classes.

BPS polynomials and Welschinger invariants Localization of virtual classes

Reference 39

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:22:48.835456Z

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Observation e4ddc81a-6d93-45c6-9282-422a7b533f90 · outbound

This paper cites The tropical vertex.

BPS polynomials and Welschinger invariants The tropical vertex

Reference 40

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:22:48.619528Z

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Observation 2a415aa6-d25e-4be5-9724-4e51468692f4 · outbound

This paper cites Logarithmic Gromov-Witten invariants.

BPS polynomials and Welschinger invariants Logarithmic Gromov-Witten invariants

Reference 41

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:22:48.446448Z

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Observation f0598293-3864-4ee3-b43f-62630d2634e1 · outbound

This paper cites Poincar\'e polynomials of moduli spaces of one-dimensional sheaves on the projective plane.

BPS polynomials and Welschinger invariants Poincar\'e polynomials of moduli spaces of one-dimensional sheaves on the projective plane

Reference 42

Resolution: verified exact; local_arxiv, observed 2026-08-07T11:22:40.573117Z

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Observation ae81d6df-f0bb-4081-826b-faf503d5b4b4 · outbound

This paper cites The open Gromov-Witten-Welschinger theory of blowups of the projective plane.

BPS polynomials and Welschinger invariants The open Gromov-Witten-Welschinger theory of blowups of the projective plane

Reference 43

Resolution: verified exact; local_arxiv, observed 2026-08-07T11:22:40.552902Z

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Observation 0ead4511-b4c4-4880-a530-899f5f9485ab · outbound

This paper cites Gromov-Witten invariants of blow-ups along points and curves.

BPS polynomials and Welschinger invariants Gromov-Witten invariants of blow-ups along points and curves

Reference 44

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:22:48.284723Z

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Observation ad98b510-e967-4f11-a0f9-2c7c22fe4d7f · outbound

This paper cites an unresolved cited work.

BPS polynomials and Welschinger invariants Unresolved cited work

Reference 45

Resolution: unresolved; raw_fallback, observed 2026-08-07T11:22:48.115358Z

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Observation 046b946c-0ca2-4a7c-85d4-b9b2ea508a86 · outbound

This paper cites Appendix to "Welschinger invariant and enumeration of real rational curves".

BPS polynomials and Welschinger invariants Appendix to "Welschinger invariant and enumeration of real rational curves"

Reference 46

Resolution: verified exact; local_arxiv, observed 2026-08-07T11:22:40.532017Z

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Observation 6a99b284-7695-4349-baa2-fdf6b30433a4 · outbound

This paper cites A Caporaso-Harris type formula for Welschinger invariants of real toric del Pezzo surfaces.

BPS polynomials and Welschinger invariants A Caporaso-Harris type formula for Welschinger invariants of real toric del Pezzo surfaces

Reference 47

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:22:47.973829Z

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Observation 241fb19f-1592-457e-93a1-de88bfa3d255 · outbound

This paper cites Welschinger invariants of real del Pezzo surfaces of degree ≥ 3.

BPS polynomials and Welschinger invariants Welschinger invariants of real del Pezzo surfaces of degree ≥ 3

Reference 48

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:22:47.714947Z

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Observation ae8d0684-1284-474c-9cc1-48cb52e4d15d · outbound

This paper cites Welschinger invariants of small non-toric Del Pezzo surfaces.

BPS polynomials and Welschinger invariants Welschinger invariants of small non-toric Del Pezzo surfaces

Reference 49

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:22:47.414915Z

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Observation 1cbae8fa-dcff-4666-bce3-6d4615b72553 · outbound

This paper cites Welschinger invariants of real del Pezzo surfaces of degree ≥ 2.

BPS polynomials and Welschinger invariants Welschinger invariants of real del Pezzo surfaces of degree ≥ 2

Reference 50

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:22:47.160931Z

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Observation fd6b09d8-86c7-4e33-b34c-a7aa6301f67e · outbound

This paper cites Welschinger invariants revisited.

BPS polynomials and Welschinger invariants Welschinger invariants revisited

Reference 51

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:22:46.894574Z

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Observation f7136a90-77ae-4c7e-9af4-9c22be2e6441 · outbound

This paper cites On Block-G¨ ottsche multiplicities for planar tropical curves.

BPS polynomials and Welschinger invariants On Block-G¨ ottsche multiplicities for planar tropical curves

Reference 52

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:22:46.669191Z

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Observation be661b0f-7c56-4792-b5d6-d46c9bbdbdc8 · outbound

This paper cites Real enumerative invariants relative to the anti-canonical divisor and their refinement.

BPS polynomials and Welschinger invariants Real enumerative invariants relative to the anti-canonical divisor and their refinement

Reference 53

Resolution: verified exact; local_arxiv, observed 2026-08-07T11:22:40.509271Z

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Observation 3423ae9b-a082-4a82-8cdb-e244e38c99bf · outbound

This paper cites Real enumerative invariants relative to the toric boundary and their refinement.

BPS polynomials and Welschinger invariants Real enumerative invariants relative to the toric boundary and their refinement

Reference 54

Resolution: unresolved; no resolver link, observed 2026-08-07T11:22:40.205399Z

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Observation 5dba2549-a143-4cfa-9e17-3f26e99e5772 · outbound

This paper cites M-theory, topological strings and spinning black holes.

BPS polynomials and Welschinger invariants M-theory, topological strings and spinning black holes

Reference 55

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:22:46.384768Z

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Observation bbdc90d6-4f49-4e56-88e4-c2ed677141a4 · outbound

This paper cites Tropical refined curve counting with descendants.

BPS polynomials and Welschinger invariants Tropical refined curve counting with descendants

Reference 56

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:22:46.100199Z

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Observation cc887086-76e7-4749-90f0-053286459634 · outbound

This paper cites Counting real rational curves on K3 surfaces.

BPS polynomials and Welschinger invariants Counting real rational curves on K3 surfaces

Reference 57

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:22:45.786280Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation d8a49724-908b-4025-8705-acf15b6fc3aa · outbound

This paper cites A compactification of the space of maps from curves.

BPS polynomials and Welschinger invariants A compactification of the space of maps from curves

Reference 58

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:22:45.478031Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 81b2430f-5819-4fbf-bc44-95683ab7a635 · outbound

This paper cites A degeneration formula of GW-invariants.

BPS polynomials and Welschinger invariants A degeneration formula of GW-invariants

Reference 59

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:22:45.344663Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation cd73b676-fde5-45aa-af98-8fff8c756904 · outbound

This paper cites Comparison of algebraic and symplectic Gromov-Witten invariants.

BPS polynomials and Welschinger invariants Comparison of algebraic and symplectic Gromov-Witten invariants

Reference 60

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:22:45.208541Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 1787c0a3-1228-4af9-936c-1cd52949a4dc · outbound

This paper cites Gromov–Witten invariants of blow-ups of P2 using logarithmic geometry.

BPS polynomials and Welschinger invariants Gromov–Witten invariants of blow-ups of P2 using logarithmic geometry

Reference 61

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:22:45.072168Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation ea038838-f2e8-4100-9433-21dbcb4dd105 · outbound

This paper cites Framed knots at large N.

BPS polynomials and Welschinger invariants Framed knots at large N

Reference 62

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:22:44.893749Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation eb2fc6cf-fa20-4b5c-9ef7-030a1613c110 · outbound

This paper cites Gromov-Witten theory and Donaldson-Thomas theory.

BPS polynomials and Welschinger invariants Gromov-Witten theory and Donaldson-Thomas theory

Reference 63

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:22:44.733012Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 6e61e9f1-b1aa-4da7-a5f2-9e428fae8805 · outbound

This paper cites Gromov-Witten theory and Donaldson-Thomas theory.

BPS polynomials and Welschinger invariants Gromov-Witten theory and Donaldson-Thomas theory

Reference 64

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:22:44.600575Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 5cff4776-39b0-4501-8c66-da790f5afee9 · outbound

This paper cites Gromov- Witten/Donaldson-Thomas correspondence for toric 3-folds.

BPS polynomials and Welschinger invariants Gromov- Witten/Donaldson-Thomas correspondence for toric 3-folds

Reference 65

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:22:44.451569Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 01848e94-486e-460b-9ad6-dc6fc29a128e · outbound

This paper cites an unresolved cited work.

BPS polynomials and Welschinger invariants Unresolved cited work

Reference 66

Resolution: unresolved; raw_fallback, observed 2026-08-07T11:22:44.270718Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 826d7bb7-2362-4012-9d91-8101a53dd4f6 · outbound

This paper cites Enumerative tropical algebraic geometry in R2.

BPS polynomials and Welschinger invariants Enumerative tropical algebraic geometry in R2

Reference 67

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:22:44.051232Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation a17be381-5e6a-4a08-96be-54978bd54b00 · outbound

This paper cites Quantum indices and refined enumeration of real plane curves.

BPS polynomials and Welschinger invariants Quantum indices and refined enumeration of real plane curves

Reference 68

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:22:43.944453Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 4e84a66e-576d-4b1a-b18d-00e6cdc963b3 · outbound

This paper cites Towards an enumerative geometry of the moduli space of curves.

BPS polynomials and Welschinger invariants Towards an enumerative geometry of the moduli space of curves

Reference 69

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:22:43.800428Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 49ec72da-e436-4843-83fb-95ffd61b3e0b · outbound

This paper cites Membranes and sheaves.

BPS polynomials and Welschinger invariants Membranes and sheaves

Reference 70

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:22:43.599621Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 5c9b6aa7-fa3d-40ad-8398-15f345291c12 · outbound

This paper cites Unramified Gromov-Witten and Gopakumar-Vafa invariants.

BPS polynomials and Welschinger invariants Unramified Gromov-Witten and Gopakumar-Vafa invariants

Reference 71

Resolution: unresolved; no resolver link, observed 2026-08-07T11:22:40.283130Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 7b368256-d386-4d7c-a2ae-c3643c333efd · outbound

This paper cites Toric degenerations of toric varieties and tropical curves.

BPS polynomials and Welschinger invariants Toric degenerations of toric varieties and tropical curves

Reference 72

Resolution: unresolved; no resolver link, observed 2026-08-07T11:22:40.288327Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d62b7339-b272-4978-85df-51f89901b4d5 · outbound

This paper cites Hodge integrals and degenerate contributions.

BPS polynomials and Welschinger invariants Hodge integrals and degenerate contributions

Reference 73

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:22:43.484345Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 734c4cfe-3415-426f-a593-38cfba7c57ef · outbound

This paper cites Three questions in Gromov-Witten theory.

BPS polynomials and Welschinger invariants Three questions in Gromov-Witten theory

Reference 74

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:22:43.361595Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation ee1a608f-d033-40ba-ba27-4f125ef565ab · outbound

This paper cites Gromov-Witten/Pairs correspondence for the quintic 3-fold.

BPS polynomials and Welschinger invariants Gromov-Witten/Pairs correspondence for the quintic 3-fold

Reference 75

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:22:43.209577Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation b99f3d5d-cf88-46e2-97c8-0f722db1fd24 · outbound

This paper cites an unresolved cited work.

BPS polynomials and Welschinger invariants Unresolved cited work

Reference 76

Resolution: unresolved; raw_fallback, observed 2026-08-07T11:22:43.119577Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 27615d0d-632a-480a-ba09-ebfeebf6af6d · outbound

This paper cites an unresolved cited work.

BPS polynomials and Welschinger invariants Unresolved cited work

Reference 77

Resolution: unresolved; raw_fallback, observed 2026-08-07T11:22:42.941937Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 71fe9238-dcf1-4faa-983f-298ba487e554 · outbound

This paper cites an unresolved cited work.

BPS polynomials and Welschinger invariants Unresolved cited work

Reference 78

Resolution: unresolved; raw_fallback, observed 2026-08-07T11:22:42.807007Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation d3033dd4-9a22-4061-892d-0c18d0e52493 · outbound

This paper cites an unresolved cited work.

BPS polynomials and Welschinger invariants Unresolved cited work

Reference 79

Resolution: unresolved; raw_fallback, observed 2026-08-07T11:22:42.682595Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation d8212652-4d2a-4b31-b33a-b62492bf53b9 · outbound

This paper cites Universally counting curves in Calabi--Yau threefolds.

BPS polynomials and Welschinger invariants Universally counting curves in Calabi--Yau threefolds

Reference 80

Resolution: unresolved; no resolver link, observed 2026-08-07T11:22:40.327755Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 044464f4-2f4f-42b8-84a8-89b3bb4d8f56 · outbound

This paper cites Tropical enumeration of curves in blowups of CP 2.

BPS polynomials and Welschinger invariants Tropical enumeration of curves in blowups of CP 2

Reference 81

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:22:42.551274Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 273cb43d-459b-4045-8a23-b756ec3cb7c0 · outbound

This paper cites On Gromov-Witten invariants of del Pezzo surfaces.

BPS polynomials and Welschinger invariants On Gromov-Witten invariants of del Pezzo surfaces

Reference 82

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:22:42.423828Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 5ecd094b-f16f-457f-9581-697a8646d362 · outbound

This paper cites Algebraic and symplectic Gromov-Witten invariants coincide.

BPS polynomials and Welschinger invariants Algebraic and symplectic Gromov-Witten invariants coincide

Reference 83

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:22:42.254465Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation efcd6e86-610b-43f7-93e6-d54c7fd21023 · outbound

This paper cites Intersection theory on the moduli space of holomorphic curves with Lagrangian boundary conditions.

BPS polynomials and Welschinger invariants Intersection theory on the moduli space of holomorphic curves with Lagrangian boundary conditions

Reference 84

Resolution: unresolved; no resolver link, observed 2026-08-07T11:22:40.346162Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 7e3487f4-9dce-46d4-b8e2-4515736b5732 · outbound

This paper cites Solomon and Sara B.

BPS polynomials and Welschinger invariants Solomon and Sara B

Reference 85

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:22:42.086141Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 929a0236-acad-4b04-9d4f-0274aa9c6d01 · outbound

This paper cites an unresolved cited work.

BPS polynomials and Welschinger invariants Unresolved cited work

Reference 86

Resolution: unresolved; raw_fallback, observed 2026-08-07T11:22:41.939274Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation f0c8a9e9-edd8-43e7-aec8-147573fcffca · outbound

This paper cites Refined sheaf counting on local K3 surfaces.

BPS polynomials and Welschinger invariants Refined sheaf counting on local K3 surfaces

Reference 87

Resolution: unresolved; no resolver link, observed 2026-08-07T11:22:40.360591Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 24965f87-9451-481e-8a2e-34e196ee83df · outbound

This paper cites Counting curves on rational surfaces.

BPS polynomials and Welschinger invariants Counting curves on rational surfaces

Reference 88

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:22:41.802952Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 70340800-88fd-4f56-b252-e2339b46dade · outbound

This paper cites Invariants of real rational symplectic 4-manifolds and lower bounds in real enumerative geometry.

BPS polynomials and Welschinger invariants Invariants of real rational symplectic 4-manifolds and lower bounds in real enumerative geometry

Reference 89

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:22:41.647291Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation d7204fdf-9ea0-4315-949e-f12f3c7ad40e · outbound

This paper cites Invariants of real symplectic 4-manifolds and lower bounds in real enumerative geometry.

BPS polynomials and Welschinger invariants Invariants of real symplectic 4-manifolds and lower bounds in real enumerative geometry

Reference 90

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:22:41.516410Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 677feb26-4bd6-4099-a46b-ade165f19cc2 · outbound

This paper cites Open/closed BPS correspondence and integrality.

BPS polynomials and Welschinger invariants Open/closed BPS correspondence and integrality

Reference 91

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:22:41.379871Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 51d14708-7870-41ac-be46-e8f9a626a8f4 · outbound

This paper cites A comparison theorem for Gromov-Witten invariants in the symplectic category.

BPS polynomials and Welschinger invariants A comparison theorem for Gromov-Witten invariants in the symplectic category

Reference 92

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:22:41.216842Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

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