Paper Citation Record · LEDGER

Exotic knottings and symmetries of surfaces in 4-manifolds

As of 10 August 2026, this Paper Citation Record lists 54 of 54 outbound references and 0 inbound Pith citation observations for arXiv:2607.27751.

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pith.paper-citation-record.v1
2607.27751 v1

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measured 54 of 54 reference resolution

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Outbound references

Observation 156a6550-a9c3-4378-b25d-c7672dd69a77 · outbound

This paper cites Smoothly knotted surfaces that remain distinct after many internal stabilizations.

Exotic knottings and symmetries of surfaces in 4-manifolds Smoothly knotted surfaces that remain distinct after many internal stabilizations

Reference 1

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Observation 0da87c0e-c39a-42ac-9133-163d39cafe94 · outbound

This paper cites An elementary introduction to modern convex geometry.

Exotic knottings and symmetries of surfaces in 4-manifolds An elementary introduction to modern convex geometry

Reference 2

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Observation 87325446-cde6-4402-b378-a1fbe17d0238 · outbound

This paper cites Monodromy and vanishing cycles for sufficiently ample linear systems on simply connected surfaces, 2025.

Exotic knottings and symmetries of surfaces in 4-manifolds Monodromy and vanishing cycles for sufficiently ample linear systems on simply connected surfaces, 2025

Reference 3

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Observation 5e3cfd49-d946-45e4-9446-af403a3e4b34 · outbound

This paper cites An adjunction inequality obstruction to isotopy of embedded surfaces in 4-manifolds.Math.

Exotic knottings and symmetries of surfaces in 4-manifolds An adjunction inequality obstruction to isotopy of embedded surfaces in 4-manifolds.Math

Reference 4

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Observation ffd62b4e-5ac1-4fe9-9e4d-f0d2b7d6f180 · outbound

This paper cites ˙Inan¸ c Baykur and Noriyuki Hamada.

Exotic knottings and symmetries of surfaces in 4-manifolds ˙Inan¸ c Baykur and Noriyuki Hamada

Reference 5

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Observation 0173c462-14ee-4348-9b7f-64afb37de591 · outbound

This paper cites ˙Inan¸ c Baykur, Mustafa Korkmaz, and Jonathan Simone.

Exotic knottings and symmetries of surfaces in 4-manifolds ˙Inan¸ c Baykur, Mustafa Korkmaz, and Jonathan Simone

Reference 6

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Observation a33b552b-ff04-4af3-bd92-cea390fbd7ea · outbound

This paper cites ˙Inan¸ c Baykur and Nathan Sunukjian.

Exotic knottings and symmetries of surfaces in 4-manifolds ˙Inan¸ c Baykur and Nathan Sunukjian

Reference 7

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Observation bd68b02b-ba28-4679-85c1-959e87016b7e · outbound

This paper cites Ben Ami and Matatyahu Rubin.

Exotic knottings and symmetries of surfaces in 4-manifolds Ben Ami and Matatyahu Rubin

Reference 8

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Observation f0663c39-7cab-455d-ae03-90712d796dd4 · outbound

This paper cites Realization of simply-connected 4-manifolds with a given boundary.Comment.

Exotic knottings and symmetries of surfaces in 4-manifolds Realization of simply-connected 4-manifolds with a given boundary.Comment

Reference 9

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Observation e849e1ae-2407-4eec-8680-1f72c073bdae · outbound

This paper cites Spin structures and codimension-two homeomorphism extensions.

Exotic knottings and symmetries of surfaces in 4-manifolds Spin structures and codimension-two homeomorphism extensions

Reference 10

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Observation 44d06081-a250-4553-a6db-199cbd59edce · outbound

This paper cites Princeton University Press, Princeton, NJ, 2012.

Exotic knottings and symmetries of surfaces in 4-manifolds Princeton University Press, Princeton, NJ, 2012

Reference 11

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Observation 9af18d51-96cb-4805-a667-850903573b4c · outbound

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Exotic knottings and symmetries of surfaces in 4-manifolds Unresolved cited work

Reference 12

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Observation 9a4e04db-236f-49d0-9120-66f009495eb9 · outbound

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Exotic knottings and symmetries of surfaces in 4-manifolds Unresolved cited work

Reference 13

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Observation 620a7f7d-f2be-4575-ab7b-2186fff404bb · outbound

This paper cites Surfaces in 4-manifolds: Addendum.

Exotic knottings and symmetries of surfaces in 4-manifolds Surfaces in 4-manifolds: Addendum

Reference 14

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Observation a24ac7f7-29f5-403f-bfcb-508b337380e8 · outbound

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Exotic knottings and symmetries of surfaces in 4-manifolds Unresolved cited work

Reference 15

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Observation 839a7c8f-0c3e-4388-a35a-72132c9f4b10 · outbound

This paper cites Gompf and Andr´ as I.

Exotic knottings and symmetries of surfaces in 4-manifolds Gompf and Andr´ as I

Reference 16

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Observation f9766d4d-9f46-49fd-af7f-b7ad0af9e41b · outbound

This paper cites On diffeomorphisms overT 2-knots.Proc.

Exotic knottings and symmetries of surfaces in 4-manifolds On diffeomorphisms overT 2-knots.Proc

Reference 17

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Observation 5c1973e6-fb0c-444a-bbae-60868f8e9082 · outbound

This paper cites On diffeomorphisms over surfaces trivially embedded in the 4-sphere.Algebr.

Exotic knottings and symmetries of surfaces in 4-manifolds On diffeomorphisms over surfaces trivially embedded in the 4-sphere.Algebr

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Observation 766c8db7-3e9d-4d77-8449-9cd3e39a06fb · outbound

This paper cites Surfaces in the complex projective plane and their mapping class groups.Algebr.

Exotic knottings and symmetries of surfaces in 4-manifolds Surfaces in the complex projective plane and their mapping class groups.Algebr

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Observation b8c5a0de-a9f0-4c91-8fe4-d5f710b2fe14 · outbound

This paper cites Surfaces in 4-manifolds and their mapping class groups.Topology, 47(1):41–50, 2008.

Exotic knottings and symmetries of surfaces in 4-manifolds Surfaces in 4-manifolds and their mapping class groups.Topology, 47(1):41–50, 2008

Reference 20

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Observation 038be64c-b815-4771-873d-20ce7e9c5ecb · outbound

This paper cites Humphries.

Exotic knottings and symmetries of surfaces in 4-manifolds Humphries

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Observation f96f3783-0d24-4af2-8cac-40f5f759dde8 · outbound

This paper cites Dehn-surgery along a torusT 2-knot.Pacific J.

Exotic knottings and symmetries of surfaces in 4-manifolds Dehn-surgery along a torusT 2-knot.Pacific J

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Observation 853eb51d-6d7e-4cb9-b19c-75c4916438f3 · outbound

This paper cites Chicago Lectures in Mathematics.

Exotic knottings and symmetries of surfaces in 4-manifolds Chicago Lectures in Mathematics

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Observation 639b2b2b-a777-4612-8bb5-e6764b253ede · outbound

This paper cites Modifying surfaces in 4–manifolds by twist spinning.Geom.

Exotic knottings and symmetries of surfaces in 4-manifolds Modifying surfaces in 4–manifolds by twist spinning.Geom

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Observation 6570760d-025a-46a0-b5c5-91ce371daf8c · outbound

This paper cites Smooth surfaces with non-simply-connected complements.Algebr.

Exotic knottings and symmetries of surfaces in 4-manifolds Smooth surfaces with non-simply-connected complements.Algebr

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Observation 769a3dc2-7356-46cd-9709-6e057f2bf601 · outbound

This paper cites Topological triviality of smoothly knotted surfaces in 4–manifolds.Trans.

Exotic knottings and symmetries of surfaces in 4-manifolds Topological triviality of smoothly knotted surfaces in 4–manifolds.Trans

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Observation 8aa101ba-5018-42b1-9d69-23002907ad66 · outbound

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Exotic knottings and symmetries of surfaces in 4-manifolds A comparative review of recent researches in geometry.Bulletin of the New York Mathematical Society, 2(10):215–249, 1893

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Observation 47efa521-f59e-4cde-bee0-bf5c58a0f51a · outbound

This paper cites A note on the topology of Lefschetz fibrations, 2025.

Exotic knottings and symmetries of surfaces in 4-manifolds A note on the topology of Lefschetz fibrations, 2025

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Observation 695ce109-c82e-4ef1-a1be-7bed698c14b1 · outbound

This paper cites Reid, and Leone Slavich.

Exotic knottings and symmetries of surfaces in 4-manifolds Reid, and Leone Slavich

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Observation bb1e9840-a367-4801-ac6c-d46d68304b52 · outbound

This paper cites Surfaces in 4-manifolds and extendible mapping classes.

Exotic knottings and symmetries of surfaces in 4-manifolds Surfaces in 4-manifolds and extendible mapping classes

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Observation 80807bf8-99e3-4c43-a09a-3f86ec2d8473 · outbound

This paper cites Flexible surfaces inCP 2 andS 2 ×S 2, 2026.

Exotic knottings and symmetries of surfaces in 4-manifolds Flexible surfaces inCP 2 andS 2 ×S 2, 2026

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Observation 95bb76ce-77e3-4109-9f88-1f44fbbe225f · outbound

This paper cites Flexible algebraic curves and fake vanishing cycles.

Exotic knottings and symmetries of surfaces in 4-manifolds Flexible algebraic curves and fake vanishing cycles

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Observation 60db5abd-0fb0-4be9-88b8-c2ae2a5913b3 · outbound

This paper cites Knotted surfaces, homological norm and extendable subgroup.Topology Appl., 377:Paper No.

Exotic knottings and symmetries of surfaces in 4-manifolds Knotted surfaces, homological norm and extendable subgroup.Topology Appl., 377:Paper No

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Observation b4891237-5860-4d45-a5dd-7047b9fcaf5a · outbound

This paper cites On slope genera of knotted tori in 4-space.Pacific J.

Exotic knottings and symmetries of surfaces in 4-manifolds On slope genera of knotted tori in 4-space.Pacific J

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Exotic knottings and symmetries of surfaces in 4-manifolds Existence and non-existence of torsion in maximal arithmetic Fuchsian groups.Groups Complex

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Observation 45705df0-a665-44cc-b0d9-48680d68d890 · outbound

This paper cites Reid.The Arithmetic of Hyperbolic3–Manifolds, volume 219 ofGraduate Texts in Mathematics.

Exotic knottings and symmetries of surfaces in 4-manifolds Reid.The Arithmetic of Hyperbolic3–Manifolds, volume 219 ofGraduate Texts in Mathematics

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Observation 09918e3f-1d26-43e4-8548-a48f98ae521c · outbound

This paper cites Automatic continuity for homeomorphism groups and applications.Geometry & Topology, 20(5):3033– 3056, 2016.

Exotic knottings and symmetries of surfaces in 4-manifolds Automatic continuity for homeomorphism groups and applications.Geometry & Topology, 20(5):3033– 3056, 2016

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Exotic knottings and symmetries of surfaces in 4-manifolds Compact hyperbolic manifolds without spin structures.Geom

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Observation 1713ded3-f4ed-44a4-99b2-7a637a7d5492 · outbound

This paper cites McMullen and Clifford H.

Exotic knottings and symmetries of surfaces in 4-manifolds McMullen and Clifford H

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Observation 08f30d97-3537-4cdb-9916-de3679b56a83 · outbound

This paper cites A gauge theoretic invariant of embedded surfaces in $4$-manifolds and exotic $P^2$-knots.

Exotic knottings and symmetries of surfaces in 4-manifolds A gauge theoretic invariant of embedded surfaces in $4$-manifolds and exotic $P^2$-knots

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Observation c3043d72-5e80-42a9-bbfc-f7ae894fff9f · outbound

This paper cites Montesinos.

Exotic knottings and symmetries of surfaces in 4-manifolds Montesinos

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Observation 4e97ed74-6f1b-499e-b90b-38785d3d9d79 · outbound

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Exotic knottings and symmetries of surfaces in 4-manifolds Unresolved cited work

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Observation d96d853d-03b7-423d-a64e-e990ce0cbd22 · outbound

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Exotic knottings and symmetries of surfaces in 4-manifolds Extendable mapping classes of knotted surfaces obtained by rim surgery in $S^4$

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Exotic knottings and symmetries of surfaces in 4-manifolds Symplectic embeddings of 4-manifolds via Lefschetz fibrations

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This paper cites Knotted surfaces with simply-connected complements, 2026.

Exotic knottings and symmetries of surfaces in 4-manifolds Knotted surfaces with simply-connected complements, 2026

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Exotic knottings and symmetries of surfaces in 4-manifolds On admissible groups of diffeomorphisms.Rend

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This paper cites Monodromy and vanishing cycles in toric surfaces.Invent.

Exotic knottings and symmetries of surfaces in 4-manifolds Monodromy and vanishing cycles in toric surfaces.Invent

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Exotic knottings and symmetries of surfaces in 4-manifolds On the monodromy group of the family of smooth quintic plane curves.Glasgow Math

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Observation 2eab5d33-6251-4e03-8e29-3a7e9ddb37b0 · outbound

This paper cites American Mathematical Society, Providence, RI, 1996.

Exotic knottings and symmetries of surfaces in 4-manifolds American Mathematical Society, Providence, RI, 1996

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Observation 31d35d17-51c7-49f6-8fe2-e6220f998c0d · outbound

This paper cites Sunukjian.

Exotic knottings and symmetries of surfaces in 4-manifolds Sunukjian

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Exotic knottings and symmetries of surfaces in 4-manifolds Homotopy K3’s with several symplectic structures.Geom

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Exotic knottings and symmetries of surfaces in 4-manifolds Extending periodic maps on surfaces over the 4-sphere.J

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Observation aeb4bc07-4354-4514-bdf9-2e20a8e11153 · outbound

This paper cites Whittaker.

Exotic knottings and symmetries of surfaces in 4-manifolds Whittaker

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Observation 4372cd4f-c4dd-4e2d-8396-ba3d62edb138 · outbound

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Exotic knottings and symmetries of surfaces in 4-manifolds Ziegler.Lectures on Polytopes, volume 152 ofGraduate Texts in Mathematics

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