Paper Citation Record · LEDGER

Permutahedra, Lusztig varieties, degenerations, and subdivisions

As of 16 August 2026, this Paper Citation Record lists 48 of 48 outbound references and 0 inbound Pith citation observations for arXiv:2607.02701.

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pith.paper-citation-record.v1
2607.02701 v1

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measured 48 of 48 reference resolution

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Source: paper_references, paper_reference_links, observed 2026-07-12T07:37:40.135398Z

measured 48 of 48 standing notices

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48 of 48 outbound references displayed

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Outbound references

Observation 7ae6a582-3c1c-4be3-a540-ca0a3406049a · outbound

This paper cites Positive configuration space.

Permutahedra, Lusztig varieties, degenerations, and subdivisions Positive configuration space

Reference 1

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Observation 83c1512d-c623-4163-a4cd-1693be609960 · outbound

This paper cites Complete moduli spaces of branchvarieties.

Permutahedra, Lusztig varieties, degenerations, and subdivisions Complete moduli spaces of branchvarieties

Reference 2

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Observation 2bea85f2-466f-4bf7-966b-367e1cb4d671 · outbound

This paper cites Schubert polynomials and classes of H essenberg varieties.

Permutahedra, Lusztig varieties, degenerations, and subdivisions Schubert polynomials and classes of H essenberg varieties

Reference 3

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Observation 7faa4777-8584-48c5-84db-2ab2afd8a00c · outbound

This paper cites On computing the number of linear extensions of a tree.

Permutahedra, Lusztig varieties, degenerations, and subdivisions On computing the number of linear extensions of a tree

Reference 4

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Observation 7c3be02c-154d-4818-a376-a38437f4de89 · outbound

This paper cites Combinatorics of C oxeter groups , volume 231 of Graduate Texts in Mathematics.

Permutahedra, Lusztig varieties, degenerations, and subdivisions Combinatorics of C oxeter groups , volume 231 of Graduate Texts in Mathematics

Reference 5

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Observation 73a96e58-a533-4ba0-9772-19a17be61095 · outbound

This paper cites Persistent Subdivisions of Coxeter Permutahedra.

Permutahedra, Lusztig varieties, degenerations, and subdivisions Persistent Subdivisions of Coxeter Permutahedra

Reference 6

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Observation 775d761d-373c-4059-a923-15ff56c96d14 · outbound

This paper cites Polyhedral and tropical geometry of flag positroids.

Permutahedra, Lusztig varieties, degenerations, and subdivisions Polyhedral and tropical geometry of flag positroids

Reference 7

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Observation 71ff9152-e605-40b0-8dc1-82442a53d33d · outbound

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Permutahedra, Lusztig varieties, degenerations, and subdivisions Unresolved cited work

Reference 8

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Observation c8f8ebc3-dc80-4a22-b11e-eb820e294464 · outbound

This paper cites The C oxeter flag variety, 2026.

Permutahedra, Lusztig varieties, degenerations, and subdivisions The C oxeter flag variety, 2026

Reference 9

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Observation c5d88b30-6ddc-489a-9c16-3a23b5840aeb · outbound

This paper cites Geometry of regular semisimple L usztig varieties.

Permutahedra, Lusztig varieties, degenerations, and subdivisions Geometry of regular semisimple L usztig varieties

Reference 10

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Observation eb3a78ab-44de-46dd-851c-1f51792c9656 · outbound

This paper cites The M irkovi \'c -- V ilonen basis and D uistermaat-- H eckman measures.

Permutahedra, Lusztig varieties, degenerations, and subdivisions The M irkovi \'c -- V ilonen basis and D uistermaat-- H eckman measures

Reference 11

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Observation dcd2dea4-da48-4fcd-a303-1a76f8a23e9d · outbound

This paper cites Affine M irkovi\'c- V ilonen polytopes.

Permutahedra, Lusztig varieties, degenerations, and subdivisions Affine M irkovi\'c- V ilonen polytopes

Reference 12

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Observation 27f1ae4d-4852-45e2-ac6a-1363ac9ad591 · outbound

This paper cites Totally Nonnegative Tropical Flags and the Totally Nonnegative Flag Dressian.

Permutahedra, Lusztig varieties, degenerations, and subdivisions Totally Nonnegative Tropical Flags and the Totally Nonnegative Flag Dressian

Reference 13

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Observation 097fa2b3-da46-420e-93c2-64d7868d41bf · outbound

This paper cites Action d’un tore dans une variet \'e projective.

Permutahedra, Lusztig varieties, degenerations, and subdivisions Action d’un tore dans une variet \'e projective

Reference 14

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Observation 19f053ea-8b06-44cc-9084-cbdeebeca6b1 · outbound

This paper cites Bruhat order of C oxeter groups and shellability.

Permutahedra, Lusztig varieties, degenerations, and subdivisions Bruhat order of C oxeter groups and shellability

Reference 15

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Observation 04010262-d5ff-47ac-8f46-1fd7068c666e · outbound

This paper cites Variation of geometric invariant theory quotients.

Permutahedra, Lusztig varieties, degenerations, and subdivisions Variation of geometric invariant theory quotients

Reference 16

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Observation a53c8439-fac0-45ba-87fe-d9c622bf8f34 · outbound

This paper cites De Loera, J.

Permutahedra, Lusztig varieties, degenerations, and subdivisions De Loera, J

Reference 17

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This paper cites Equivariant intersection theory (with an appendix by A ngelo V istoli: The C how ring of M_2 ).

Permutahedra, Lusztig varieties, degenerations, and subdivisions Equivariant intersection theory (with an appendix by A ngelo V istoli: The C how ring of M_2 )

Reference 18

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Observation 8600b5f5-bfca-48c8-8ebf-6aa1ce6683d1 · outbound

This paper cites Intersection theory , volume 2.

Permutahedra, Lusztig varieties, degenerations, and subdivisions Intersection theory , volume 2

Reference 19

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Observation 5bf167b6-05a3-427d-9017-9a6849408ebe · outbound

This paper cites Karp, and Thomas Lam.

Permutahedra, Lusztig varieties, degenerations, and subdivisions Karp, and Thomas Lam

Reference 20

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Observation b376fd52-17f9-4a19-a639-9516903026f4 · outbound

This paper cites Symplectic fibrations and multiplicity diagrams.

Permutahedra, Lusztig varieties, degenerations, and subdivisions Symplectic fibrations and multiplicity diagrams

Reference 21

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Observation 9905ea93-6fc6-4407-a2ab-938aee170470 · outbound

This paper cites Gruber and Sergej S.

Permutahedra, Lusztig varieties, degenerations, and subdivisions Gruber and Sergej S

Reference 22

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Permutahedra, Lusztig varieties, degenerations, and subdivisions Unresolved cited work

Reference 23

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Observation f459c212-1826-48ea-ab06-07f305ff5f90 · outbound

This paper cites The volume polynomial of regular semisimple H essenberg varieties and the G elfand-- Z etlin polytope.

Permutahedra, Lusztig varieties, degenerations, and subdivisions The volume polynomial of regular semisimple H essenberg varieties and the G elfand-- Z etlin polytope

Reference 24

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Observation 9eea1a48-bafb-44d7-94f7-aad2a3a758df · outbound

This paper cites Rota's conjecture and positivity of algebraic cycles in permutohedral varieties.

Permutahedra, Lusztig varieties, degenerations, and subdivisions Rota's conjecture and positivity of algebraic cycles in permutohedral varieties

Reference 25

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Observation 5fc914fa-7853-4ab9-9c68-34bafdc3057e · outbound

This paper cites Generalized permutahedra and positive flag D ressians.

Permutahedra, Lusztig varieties, degenerations, and subdivisions Generalized permutahedra and positive flag D ressians

Reference 26

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Observation fdc413fd-fd5e-4f06-9cf6-d5a0fa267f68 · outbound

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Permutahedra, Lusztig varieties, degenerations, and subdivisions Unresolved cited work

Reference 27

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Observation 68ed0b57-6a7b-440e-a01f-5389943809c7 · outbound

This paper cites Homology class of a D eligne- L usztig variety and its analogues.

Permutahedra, Lusztig varieties, degenerations, and subdivisions Homology class of a D eligne- L usztig variety and its analogues

Reference 28

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Observation 99319ed6-af0e-4be3-ac03-a010621774d5 · outbound

This paper cites Gr \"o bner geometry of S chubert polynomials.

Permutahedra, Lusztig varieties, degenerations, and subdivisions Gr \"o bner geometry of S chubert polynomials

Reference 29

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Observation 563e0926-b326-4057-b3ce-15409c5bda8c · outbound

This paper cites Frobenius splitting and M\"obius inversion.

Permutahedra, Lusztig varieties, degenerations, and subdivisions Frobenius splitting and M\"obius inversion

Reference 30

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Observation 2d20edba-c6da-42e6-990f-e4de221b743b · outbound

This paper cites Decompositions of normal algebraic varieties determined by an action of a one-dimensional torus.

Permutahedra, Lusztig varieties, degenerations, and subdivisions Decompositions of normal algebraic varieties determined by an action of a one-dimensional torus

Reference 31

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Observation 6f7bb744-dd8f-4684-92ce-39014a76d7fe · outbound

This paper cites The full K ostant- T oda hierarchy on the positive flag variety.

Permutahedra, Lusztig varieties, degenerations, and subdivisions The full K ostant- T oda hierarchy on the positive flag variety

Reference 32

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Observation d6942112-27cf-4667-80a6-f4a254ac1a26 · outbound

This paper cites The HHMP decomposition of the permutohedron and degenerations of torus orbits in flag varieties.

Permutahedra, Lusztig varieties, degenerations, and subdivisions The HHMP decomposition of the permutohedron and degenerations of torus orbits in flag varieties

Reference 33

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Observation a439fd77-71c9-413e-9cc9-eb678c59f9b7 · outbound

This paper cites The geometry and combinatorics of some H essenberg varieties related to the permutohedral variety.

Permutahedra, Lusztig varieties, degenerations, and subdivisions The geometry and combinatorics of some H essenberg varieties related to the permutohedral variety

Reference 34

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This paper cites New moduli spaces of pointed curves and pencils of flat connections.

Permutahedra, Lusztig varieties, degenerations, and subdivisions New moduli spaces of pointed curves and pencils of flat connections

Reference 35

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Permutahedra, Lusztig varieties, degenerations, and subdivisions Williams

Reference 36

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Permutahedra, Lusztig varieties, degenerations, and subdivisions Unresolved cited work

Reference 37

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Observation 2e682b9f-11c3-4dea-914a-b22b7ff4a707 · outbound

This paper cites Towards a mathematical definition of C oulomb branches of 3-dimensional N=4 gauge theories, I.

Permutahedra, Lusztig varieties, degenerations, and subdivisions Towards a mathematical definition of C oulomb branches of 3-dimensional N=4 gauge theories, I

Reference 38

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Permutahedra, Lusztig varieties, degenerations, and subdivisions Unresolved cited work

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Permutahedra, Lusztig varieties, degenerations, and subdivisions Folding by automorphisms

Reference 40

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Permutahedra, Lusztig varieties, degenerations, and subdivisions Gr \"o bner bases of toric varieties

Reference 41

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Permutahedra, Lusztig varieties, degenerations, and subdivisions Williams

Reference 42

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Observation 0a655790-3dce-453e-b9cc-fd62df957bf5 · outbound

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Permutahedra, Lusztig varieties, degenerations, and subdivisions Examples of non- K\"a hler H amiltonian torus actions

Reference 43

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Observation b030743f-6bf5-407c-a2bd-92e0805193cf · outbound

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Permutahedra, Lusztig varieties, degenerations, and subdivisions Tsukerman and L

Reference 44

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Observation cfddcba2-eed2-4fce-a751-7356497a06c7 · outbound

This paper cites A degeneration of the brick variety and a mixed subdivision of the associahedron into cubes.

Permutahedra, Lusztig varieties, degenerations, and subdivisions A degeneration of the brick variety and a mixed subdivision of the associahedron into cubes

Reference 45

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Observation 4d293142-7204-495d-ac05-2d6c52e418c4 · outbound

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Permutahedra, Lusztig varieties, degenerations, and subdivisions Schubert induction

Reference 46

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Observation c09a5b81-57b9-4e9d-b405-a334db40b84c · outbound

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Permutahedra, Lusztig varieties, degenerations, and subdivisions Goresky- M ac P herson calculus for the affine flag varieties

Reference 47

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Observation 556cd07f-10d6-486e-8d3a-3fdd282db3ca · outbound

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Permutahedra, Lusztig varieties, degenerations, and subdivisions Degenerations of toric ideals and toric varieties

Reference 48

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