Paper Citation Record · LEDGER

Traceless $\mathrm{SU}(2)$ characters and $\mathbb{Z}/4$ instanton gradings for two-bridge and $(3,n)$-torus knots

As of 12 August 2026, this Paper Citation Record lists 22 of 22 outbound references and 1 inbound Pith citation observation for arXiv:2607.26095.

A citation records a reference. It does not transfer a finding from one paper to another.

pith.paper-citation-record.v1
2607.26095 v2

Coverage vector

measured 22 of 22 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-03T01:56:01.804966Z

measured 23 of 23 standing notices

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Source: scholarly_work_events, retraction_status_cache, observed 2026-08-12T06:34:41.77262+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-03T01:51:49.186461Z

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: cited_works

Reference resolution

22 of 22 outbound references displayed

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Outbound references

Observation 1b9574db-cbc1-40d3-abd3-62924574df64 · outbound

This paper cites Equivariant Rho-Invariants and Instanton Homology of Torus Knots.

Traceless $\mathrm{SU}(2)$ characters and $\mathbb{Z}/4$ instanton gradings for two-bridge and $(3,n)$-torus knots Equivariant Rho-Invariants and Instanton Homology of Torus Knots

Reference 1

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Observation 2bbfaaa3-6dcb-413a-8904-4111dd818753 · outbound

This paper cites an unresolved cited work.

Traceless $\mathrm{SU}(2)$ characters and $\mathbb{Z}/4$ instanton gradings for two-bridge and $(3,n)$-torus knots Unresolved cited work

Reference 2

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Observation 6272fbe9-f39b-4c1f-89f6-41edf1080624 · outbound

This paper cites Auroux, Lagrangian Floer theory, from geometry to algebra and back again, survey, to appear in Proceedings of the ICM 2026.

Traceless $\mathrm{SU}(2)$ characters and $\mathbb{Z}/4$ instanton gradings for two-bridge and $(3,n)$-torus knots Auroux, Lagrangian Floer theory, from geometry to algebra and back again, survey, to appear in Proceedings of the ICM 2026

Reference 3

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Observation 535adabf-07df-4fd7-91dd-699c3a08414a · outbound

This paper cites The correspondence induced on the pillowcase by the earring tangle.

Traceless $\mathrm{SU}(2)$ characters and $\mathbb{Z}/4$ instanton gradings for two-bridge and $(3,n)$-torus knots The correspondence induced on the pillowcase by the earring tangle

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-03T01:56:00.313771Z

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Observation 7c44299f-8299-4c12-9d61-a5994bc9257c · outbound

This paper cites Exotic disks and singular instanton Floer homology.

Traceless $\mathrm{SU}(2)$ characters and $\mathbb{Z}/4$ instanton gradings for two-bridge and $(3,n)$-torus knots Exotic disks and singular instanton Floer homology

Reference 5

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Observation 3f240a81-d2f4-4412-9e87-88888a8b323a · outbound

This paper cites Chern-Simons functional, singular instantons, and the four-dimensional clasp number.

Traceless $\mathrm{SU}(2)$ characters and $\mathbb{Z}/4$ instanton gradings for two-bridge and $(3,n)$-torus knots Chern-Simons functional, singular instantons, and the four-dimensional clasp number

Reference 6

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Observation 074f16d6-fbeb-4591-b62c-c6770728043a · outbound

This paper cites Dostoglou, D.

Traceless $\mathrm{SU}(2)$ characters and $\mathbb{Z}/4$ instanton gradings for two-bridge and $(3,n)$-torus knots Dostoglou, D

Reference 7

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Observation 3c93fb11-1ecd-4c33-a2e4-1a819238e60f · outbound

This paper cites Fintushel, R.

Traceless $\mathrm{SU}(2)$ characters and $\mathbb{Z}/4$ instanton gradings for two-bridge and $(3,n)$-torus knots Fintushel, R

Reference 8

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Observation bdf5e3b1-691d-4e2f-becc-74371d2c1583 · outbound

This paper cites The pillowcase and perturbations of traceless representations of knot groups.

Traceless $\mathrm{SU}(2)$ characters and $\mathbb{Z}/4$ instanton gradings for two-bridge and $(3,n)$-torus knots The pillowcase and perturbations of traceless representations of knot groups

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-03T01:56:00.571843Z

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Observation a085258d-4a34-4565-96b2-577b0c3f8b64 · outbound

This paper cites The pillowcase and traceless representations of knot groups II: a Lagrangian-Floer theory in the pillowcase.

Traceless $\mathrm{SU}(2)$ characters and $\mathbb{Z}/4$ instanton gradings for two-bridge and $(3,n)$-torus knots The pillowcase and traceless representations of knot groups II: a Lagrangian-Floer theory in the pillowcase

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-03T01:56:00.624835Z

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Observation 2d9fcccd-1a7b-4888-9f7e-412741604e4d · outbound

This paper cites An endomorphism on immersed curves in the pillowcase.

Traceless $\mathrm{SU}(2)$ characters and $\mathbb{Z}/4$ instanton gradings for two-bridge and $(3,n)$-torus knots An endomorphism on immersed curves in the pillowcase

Reference 11

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Observation ef9041da-05d5-4d25-a8a4-4f4eda934076 · outbound

This paper cites Klassen, Representations of knot groups in , Trans.\ Amer.\ Math.\ Soc.\ 326 (1991), 795--828.

Traceless $\mathrm{SU}(2)$ characters and $\mathbb{Z}/4$ instanton gradings for two-bridge and $(3,n)$-torus knots Klassen, Representations of knot groups in , Trans.\ Amer.\ Math.\ Soc.\ 326 (1991), 795--828

Reference 12

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Observation 110afd66-44b8-43e6-9432-e68a42bf8352 · outbound

This paper cites Knot homology groups from instantons.

Traceless $\mathrm{SU}(2)$ characters and $\mathbb{Z}/4$ instanton gradings for two-bridge and $(3,n)$-torus knots Knot homology groups from instantons

Reference 13

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Observation e19c607c-6514-4aef-9be7-3f3b2252d150 · outbound

This paper cites Khovanov homology is an unknot-detector.

Traceless $\mathrm{SU}(2)$ characters and $\mathbb{Z}/4$ instanton gradings for two-bridge and $(3,n)$-torus knots Khovanov homology is an unknot-detector

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-03T01:56:00.810854Z

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Observation 1ff0331f-d0b8-41f3-a697-b2f3a273c603 · outbound

This paper cites Lim, Instanton homology and the Alexander polynomial, Proc.\ Amer.\ Math.\ Soc.\ 138 (2010), 3759--3768.

Traceless $\mathrm{SU}(2)$ characters and $\mathbb{Z}/4$ instanton gradings for two-bridge and $(3,n)$-torus knots Lim, Instanton homology and the Alexander polynomial, Proc.\ Amer.\ Math.\ Soc.\ 138 (2010), 3759--3768

Reference 15

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Observation a9052e30-4da8-4b08-87a9-13fa5d99d520 · outbound

This paper cites Lin, A knot invariant via representation spaces, J.\ Differential Geom.\ 35 (1992), 337--357.

Traceless $\mathrm{SU}(2)$ characters and $\mathbb{Z}/4$ instanton gradings for two-bridge and $(3,n)$-torus knots Lin, A knot invariant via representation spaces, J.\ Differential Geom.\ 35 (1992), 337--357

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-03T01:56:00.847317Z

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Observation 9f68c4df-1001-427d-b0f9-1530fc509fc0 · outbound

This paper cites Link homology and equivariant gauge theory.

Traceless $\mathrm{SU}(2)$ characters and $\mathbb{Z}/4$ instanton gradings for two-bridge and $(3,n)$-torus knots Link homology and equivariant gauge theory

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-03T01:56:00.925645Z

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Observation 8cb5f24c-f2d3-427b-8d01-ff9d8aba686c · outbound

This paper cites Riley, Nonabelian representations of 2 -bridge knot groups, Quart.\ J.\ Math.\ Oxford 35 (1984), 191--208.

Traceless $\mathrm{SU}(2)$ characters and $\mathbb{Z}/4$ instanton gradings for two-bridge and $(3,n)$-torus knots Riley, Nonabelian representations of 2 -bridge knot groups, Quart.\ J.\ Math.\ Oxford 35 (1984), 191--208

Reference 18

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Observation c8cbe2d3-c746-4295-ada1-4a76a4a3c894 · outbound

This paper cites Torsion of the Khovanov homology.

Traceless $\mathrm{SU}(2)$ characters and $\mathbb{Z}/4$ instanton gradings for two-bridge and $(3,n)$-torus knots Torsion of the Khovanov homology

Reference 19

Resolution: unresolved; no resolver link, observed 2026-08-03T01:56:01.198952Z

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Observation 69caccb7-47cf-4400-9ee2-002c8a050e3c · outbound

This paper cites Perturbed Traceless SU(2) Character Varieties of Tangle Sums.

Traceless $\mathrm{SU}(2)$ characters and $\mathbb{Z}/4$ instanton gradings for two-bridge and $(3,n)$-torus knots Perturbed Traceless SU(2) Character Varieties of Tangle Sums

Reference 20

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Observation ff09eb48-2165-4d03-85d1-857418ed002c · outbound

This paper cites A spectral sequence for Khovanov homology with an application to (3,q)-torus links.

Traceless $\mathrm{SU}(2)$ characters and $\mathbb{Z}/4$ instanton gradings for two-bridge and $(3,n)$-torus knots A spectral sequence for Khovanov homology with an application to (3,q)-torus links

Reference 21

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Observation 16c8943f-1383-4b27-85f3-01a6330a340e · outbound

This paper cites The instanton homology of the $(-2,3,q)$ pretzel knots and computed bounding cochains in the pillowcase.

Traceless $\mathrm{SU}(2)$ characters and $\mathbb{Z}/4$ instanton gradings for two-bridge and $(3,n)$-torus knots The instanton homology of the $(-2,3,q)$ pretzel knots and computed bounding cochains in the pillowcase

Reference 22

Resolution: unresolved; no resolver link, observed 2026-08-03T01:56:01.804966Z

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Pith citing papers

Observation 0302a55b-9070-4b00-8f18-126f723caa51 · inbound

The instanton homology of the $(-2,3,q)$ pretzel knots and computed bounding cochains in the pillowcase cites this paper.

The instanton homology of the $(-2,3,q)$ pretzel knots and computed bounding cochains in the pillowcase Traceless $\mathrm{SU}(2)$ characters and $\mathbb{Z}/4$ instanton gradings for two-bridge and $(3,n)$-torus knots

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-03T01:51:49.186461Z

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