Paper Citation Record · LEDGER

Macdonald deformation of Vogel's universality and link hyperpolynomials

As of 16 August 2026, this Paper Citation Record lists 57 of 57 outbound references and 4 inbound Pith citation observations for arXiv:2505.16569.

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2505.16569 v2

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measured 57 of 57 reference resolution

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Outbound references

Observation f4dbbf69-6dc2-4915-b4f1-14dd1a7c879e · outbound

This paper cites Vogel, Algebraic structures on modules of diagrams , Preprint (1995), available at https://webusers.

Macdonald deformation of Vogel's universality and link hyperpolynomials Vogel, Algebraic structures on modules of diagrams , Preprint (1995), available at https://webusers

Reference 1

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Observation d6342f86-2a8d-4c0e-88ce-7d9d0c882cae · outbound

This paper cites Vogel, The Universal Lie algebra , Preprint (1999), available at https://webusers.imj-prg.fr/ ~pierre.vogel/grenoble-99b.pdf 13.

Macdonald deformation of Vogel's universality and link hyperpolynomials Vogel, The Universal Lie algebra , Preprint (1999), available at https://webusers.imj-prg.fr/ ~pierre.vogel/grenoble-99b.pdf 13

Reference 2

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Observation c086460f-5aa6-4a68-9590-cd01b95d7ce8 · outbound

This paper cites Construction of Lie algebra weight system kernel via Vogel algebra.

Macdonald deformation of Vogel's universality and link hyperpolynomials Construction of Lie algebra weight system kernel via Vogel algebra

Reference 3

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Observation b58d0a9a-1b1d-4759-9ba9-f7863e5a8b1c · outbound

This paper cites Can Yang-Baxter imply Lie algebra?.

Macdonald deformation of Vogel's universality and link hyperpolynomials Can Yang-Baxter imply Lie algebra?

Reference 4

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Observation f0e56dc1-c503-4bcd-bb4c-775b14a54666 · outbound

This paper cites Knot Homology from Refined Chern-Simons Theory.

Macdonald deformation of Vogel's universality and link hyperpolynomials Knot Homology from Refined Chern-Simons Theory

Reference 5

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Observation e35db800-2bc1-41dd-9f92-cd2c53f03c89 · outbound

This paper cites Refined Chern-Simons Theory and Knot Homology.

Macdonald deformation of Vogel's universality and link hyperpolynomials Refined Chern-Simons Theory and Knot Homology

Reference 6

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Observation cdd8f435-40e8-411d-bc9b-e0647d976607 · outbound

This paper cites On partition functions of refined Chern-Simons theories on $S^3$.

Macdonald deformation of Vogel's universality and link hyperpolynomials On partition functions of refined Chern-Simons theories on $S^3$

Reference 7

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Observation 954aba7b-4698-4c9c-a7df-572413af63a9 · outbound

This paper cites Chern-Simons theory with the exceptional gauge group as a refined topological string.

Macdonald deformation of Vogel's universality and link hyperpolynomials Chern-Simons theory with the exceptional gauge group as a refined topological string

Reference 8

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Observation db628106-2abb-4bf9-a2bb-a4282dda0edd · outbound

This paper cites On refined Chern-Simons / topological string duality for classical gauge groups.

Macdonald deformation of Vogel's universality and link hyperpolynomials On refined Chern-Simons / topological string duality for classical gauge groups

Reference 9

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Observation 4e73021d-ea49-44dd-9ee7-800d5068ca6a · outbound

This paper cites Vogel's Universality and its Applications.

Macdonald deformation of Vogel's universality and link hyperpolynomials Vogel's Universality and its Applications

Reference 10

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Observation c8a793f6-b13a-4418-9881-d9ad4f01f5bd · outbound

This paper cites Two-fold refinement of non simply laced Chern-Simons theories.

Macdonald deformation of Vogel's universality and link hyperpolynomials Two-fold refinement of non simply laced Chern-Simons theories

Reference 11

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Observation 0cf3ad23-9d60-438f-b055-aad8fc5d5e67 · outbound

This paper cites Refined $E_n$ Chern-Simons theory.

Macdonald deformation of Vogel's universality and link hyperpolynomials Refined $E_n$ Chern-Simons theory

Reference 12

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Observation 62d0c4be-d1e8-4d44-9e7a-1b3d0556399c · outbound

This paper cites Superpolynomials for toric knots from evolution induced by cut-and-join operators.

Macdonald deformation of Vogel's universality and link hyperpolynomials Superpolynomials for toric knots from evolution induced by cut-and-join operators

Reference 13

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Observation e7e67286-74a1-44c3-a512-55803ab1b3f4 · outbound

This paper cites Jones polynomials of torus knots via DAHA.

Macdonald deformation of Vogel's universality and link hyperpolynomials Jones polynomials of torus knots via DAHA

Reference 14

Resolution: verified exact; local_arxiv, observed 2026-08-07T15:04:19.766588Z

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Observation bc6736ab-1e62-4a03-981c-404a8c025681 · outbound

This paper cites The Superpolynomial for Knot Homologies.

Macdonald deformation of Vogel's universality and link hyperpolynomials The Superpolynomial for Knot Homologies

Reference 15

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Observation a6664e97-95eb-496b-b673-162a04da8b66 · outbound

This paper cites Khovanov, Duke Math.

Macdonald deformation of Vogel's universality and link hyperpolynomials Khovanov, Duke Math

Reference 16

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Observation 304e1fa3-1903-445f-b8fc-7777651d72f2 · outbound

This paper cites On Khovanov's categorification of the Jones polynomial.

Macdonald deformation of Vogel's universality and link hyperpolynomials On Khovanov's categorification of the Jones polynomial

Reference 17

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Observation 65122337-b125-45b9-971f-bf47575682d3 · outbound

This paper cites Computing Khovanov-Rozansky homology and defect fusion.

Macdonald deformation of Vogel's universality and link hyperpolynomials Computing Khovanov-Rozansky homology and defect fusion

Reference 18

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Observation 0f936252-413a-4d63-a54b-bbf68c661f82 · outbound

This paper cites Khovanov, L.

Macdonald deformation of Vogel's universality and link hyperpolynomials Khovanov, L

Reference 19

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Observation 06e0e19b-2023-4851-bec8-40939d3de3ff · outbound

This paper cites Introduction to Khovanov Homologies. III. A new and simple tensor-algebra construction of Khovanov-Rozansky invariants.

Macdonald deformation of Vogel's universality and link hyperpolynomials Introduction to Khovanov Homologies. III. A new and simple tensor-algebra construction of Khovanov-Rozansky invariants

Reference 20

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Observation a3fa45b2-1443-4e1a-88bf-062917d406d6 · outbound

This paper cites On Refined Vogel's universality.

Macdonald deformation of Vogel's universality and link hyperpolynomials On Refined Vogel's universality

Reference 21

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Observation 6e7bb75f-e8d6-42a9-92cf-dc8ec4dd7b38 · outbound

This paper cites Refined Chern-Simons versus Vogel universality.

Macdonald deformation of Vogel's universality and link hyperpolynomials Refined Chern-Simons versus Vogel universality

Reference 22

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Observation 00f4a728-e69f-4ad2-a558-59772f522151 · outbound

This paper cites Universality in Chern-Simons theory.

Macdonald deformation of Vogel's universality and link hyperpolynomials Universality in Chern-Simons theory

Reference 23

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Observation 76eb86d7-914d-4e4d-bfc4-c805b4cccd1b · outbound

This paper cites Nonperturbative universal Chern-Simons theory.

Macdonald deformation of Vogel's universality and link hyperpolynomials Nonperturbative universal Chern-Simons theory

Reference 24

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Observation 33cfe061-9f14-41e7-8fb1-1ca0b0d7f417 · outbound

This paper cites Exact Chern-Simons / Topological String duality.

Macdonald deformation of Vogel's universality and link hyperpolynomials Exact Chern-Simons / Topological String duality

Reference 25

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Observation 91f3c719-b0bb-4ff6-af4b-a315366fb767 · outbound

This paper cites Partition function of Chern-Simons theory as renormalized q-dimension.

Macdonald deformation of Vogel's universality and link hyperpolynomials Partition function of Chern-Simons theory as renormalized q-dimension

Reference 26

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Observation b0b953d0-92bb-4194-b461-7f9ad5d6e775 · outbound

This paper cites Westbury, Proceedings of the Tenth Oporto Meeting on Geometry, Topology and Physics, 18 (2001) suppl.

Macdonald deformation of Vogel's universality and link hyperpolynomials Westbury, Proceedings of the Tenth Oporto Meeting on Geometry, Topology and Physics, 18 (2001) suppl

Reference 27

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Observation 25a7e8fa-0666-4b67-8428-8a041c547184 · outbound

This paper cites On Universal Quantum Dimensions.

Macdonald deformation of Vogel's universality and link hyperpolynomials On Universal Quantum Dimensions

Reference 28

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Observation 7a96c67a-5919-459d-80da-a503823691f9 · outbound

This paper cites Landsberg, L.

Macdonald deformation of Vogel's universality and link hyperpolynomials Landsberg, L

Reference 29

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Observation 15eff9e6-09fd-4b5b-8405-bf1e62a66596 · outbound

This paper cites Casimir eigenvalues for universal Lie algebra.

Macdonald deformation of Vogel's universality and link hyperpolynomials Casimir eigenvalues for universal Lie algebra

Reference 30

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Observation 9ccb2190-f2e8-4740-a9cc-21069b42ed6d · outbound

This paper cites The uniform structure of $\mathfrak{g}^{\otimes 4}$.

Macdonald deformation of Vogel's universality and link hyperpolynomials The uniform structure of $\mathfrak{g}^{\otimes 4}$

Reference 31

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Observation e82949cd-3717-486b-8260-378016d19de3 · outbound

This paper cites Projectors on invariant subspaces of representations $\operatorname{ad}^{\otimes 2}$ of Lie algebras $so(N)$ and $sp(2r)$ and Vogel parametrization.

Macdonald deformation of Vogel's universality and link hyperpolynomials Projectors on invariant subspaces of representations $\operatorname{ad}^{\otimes 2}$ of Lie algebras $so(N)$ and $sp(2r)$ and Vogel parametrization

Reference 32

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Observation 3c13850b-0d7c-4d4e-9579-f7ed86547875 · outbound

This paper cites Split Casimir operator for simple Lie algebras, solutions of Yang-Baxter equations and Vogel parameters.

Macdonald deformation of Vogel's universality and link hyperpolynomials Split Casimir operator for simple Lie algebras, solutions of Yang-Baxter equations and Vogel parameters

Reference 33

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Observation 81cf4b4f-b22d-4edd-9d8a-3cad08332096 · outbound

This paper cites Split Casimir operator for simple Lie algebras in the cube of $\mathsf{ad}$-representation and Vogel parameters.

Macdonald deformation of Vogel's universality and link hyperpolynomials Split Casimir operator for simple Lie algebras in the cube of $\mathsf{ad}$-representation and Vogel parameters

Reference 34

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Observation c12f5493-25b8-42e0-828a-3f3b73e51a5d · outbound

This paper cites Universal volume of groups and anomaly of Vogel's symmetry.

Macdonald deformation of Vogel's universality and link hyperpolynomials Universal volume of groups and anomaly of Vogel's symmetry

Reference 35

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Observation 8ed972b6-7dbc-45e9-996c-f38a5ec8c85f · outbound

This paper cites On universal knot polynomials.

Macdonald deformation of Vogel's universality and link hyperpolynomials On universal knot polynomials

Reference 36

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Observation 92322aa6-c474-4f60-8823-388ce88ceed8 · outbound

This paper cites Universal Racah matrices and adjoint knot polynomials. I. Arborescent knots.

Macdonald deformation of Vogel's universality and link hyperpolynomials Universal Racah matrices and adjoint knot polynomials. I. Arborescent knots

Reference 37

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Observation 357f6004-bc34-453a-8397-1a6bb63b9cbc · outbound

This paper cites Towards R-matrix construction of Khovanov-Rozansky polynomials. I. Primary $T$-deformation of HOMFLY.

Macdonald deformation of Vogel's universality and link hyperpolynomials Towards R-matrix construction of Khovanov-Rozansky polynomials. I. Primary $T$-deformation of HOMFLY

Reference 38

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Observation cab47b7c-8d03-4853-b953-d1149b1f74dd · outbound

This paper cites Orthogonal polynomials associated with root systems.

Macdonald deformation of Vogel's universality and link hyperpolynomials Orthogonal polynomials associated with root systems

Reference 39

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Observation 932691d2-7b17-48fd-bae3-f13c08061ce1 · outbound

This paper cites Macdonald, SIAM J.Math.

Macdonald deformation of Vogel's universality and link hyperpolynomials Macdonald, SIAM J.Math

Reference 40

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Observation 912d82d2-4af8-46fc-bf38-a809bdefd6c8 · outbound

This paper cites Macdonald's Evaluation Conjectures and Difference Fourier Transform.

Macdonald deformation of Vogel's universality and link hyperpolynomials Macdonald's Evaluation Conjectures and Difference Fourier Transform

Reference 41

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Observation ef95bc9a-ad9c-4f48-9d69-98c39b2ad973 · outbound

This paper cites Cherednik, The Annals of Mathematics, Second Series, 141 (1995) 191-216.

Macdonald deformation of Vogel's universality and link hyperpolynomials Cherednik, The Annals of Mathematics, Second Series, 141 (1995) 191-216

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Observation 1ecc2226-b71b-4db9-8758-3cae3d77c51d · outbound

This paper cites Koornwinder, in: Hypergeometric Functions on Domains of Positivity, Jack Polynomials, and Appli- cations (Tampa, FL, 1991), Contemp.

Macdonald deformation of Vogel's universality and link hyperpolynomials Koornwinder, in: Hypergeometric Functions on Domains of Positivity, Jack Polynomials, and Appli- cations (Tampa, FL, 1991), Contemp

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Observation b20d888a-c50a-4508-9ae5-aadc3fbc1198 · outbound

This paper cites Refined Hopf Link Revisited.

Macdonald deformation of Vogel's universality and link hyperpolynomials Refined Hopf Link Revisited

Reference 44

Resolution: verified exact; local_arxiv, observed 2026-08-07T15:04:19.141412Z

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Observation 362e896b-23dc-492c-bd95-f5ca84bddcc0 · outbound

This paper cites Can tangle calculus be applicable to hyperpolynomials?.

Macdonald deformation of Vogel's universality and link hyperpolynomials Can tangle calculus be applicable to hyperpolynomials?

Reference 45

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Observation 9495cd55-d716-46b8-b177-ed72f0a93662 · outbound

This paper cites Rosso, V.F.R.

Macdonald deformation of Vogel's universality and link hyperpolynomials Rosso, V.F.R

Reference 46

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:04:20.113415Z

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Observation bfe3a38c-1070-480a-94cd-1a7e3689b4ab · outbound

This paper cites On the Hecke algebras and the colored HOMFLY polynomial.

Macdonald deformation of Vogel's universality and link hyperpolynomials On the Hecke algebras and the colored HOMFLY polynomial

Reference 47

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Observation 83cfbd09-aa01-465f-906b-79da41560f41 · outbound

This paper cites Refined Topological Vertex and Instanton Counting.

Macdonald deformation of Vogel's universality and link hyperpolynomials Refined Topological Vertex and Instanton Counting

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Observation dcee9405-e715-4fa5-9698-009744dba8fc · outbound

This paper cites Evolution method and "differential hierarchy" of colored knot polynomials.

Macdonald deformation of Vogel's universality and link hyperpolynomials Evolution method and "differential hierarchy" of colored knot polynomials

Reference 49

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Observation 68e5392d-f113-42d4-95b4-04ea9ff20800 · outbound

This paper cites Refined composite invariants of torus knots via DAHA.

Macdonald deformation of Vogel's universality and link hyperpolynomials Refined composite invariants of torus knots via DAHA

Reference 50

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Observation e1d5e131-bdbd-4773-bd5e-30cb912805de · outbound

This paper cites A non-torus link from topological vertex.

Macdonald deformation of Vogel's universality and link hyperpolynomials A non-torus link from topological vertex

Reference 51

Resolution: verified exact; local_arxiv, observed 2026-08-07T15:04:18.943658Z

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Observation 0c289309-9423-4c40-a65a-8d9dd526637e · outbound

This paper cites Topological Open String Amplitudes On Orientifolds.

Macdonald deformation of Vogel's universality and link hyperpolynomials Topological Open String Amplitudes On Orientifolds

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Observation 3cbe0c36-c09b-4ff6-b8ae-d85931ebb6ec · outbound

This paper cites Hopf superpolynomial from topological vertices.

Macdonald deformation of Vogel's universality and link hyperpolynomials Hopf superpolynomial from topological vertices

Reference 53

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Observation b0bb27cd-9d9b-4b20-9d44-49ac098f144c · outbound

This paper cites Difference Macdonald-Mehta Conjecture.

Macdonald deformation of Vogel's universality and link hyperpolynomials Difference Macdonald-Mehta Conjecture

Reference 54

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Observation bba66807-d442-41d1-a1fd-9ff3d707533d · outbound

This paper cites On Cherednik-Macdonald-Mehta identities.

Macdonald deformation of Vogel's universality and link hyperpolynomials On Cherednik-Macdonald-Mehta identities

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Observation 17b8a70b-450b-46b1-b7f5-c0ae52c8abf2 · outbound

This paper cites Orthogonality relations and Cherednik identities for multivariable Baker-Akhiezer functions.

Macdonald deformation of Vogel's universality and link hyperpolynomials Orthogonality relations and Cherednik identities for multivariable Baker-Akhiezer functions

Reference 56

Resolution: unresolved; no resolver link, observed 2026-08-07T15:04:18.614490Z

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Observation 9d568b26-244d-4723-b769-53be2f01cf05 · outbound

This paper cites CMM formula as superintegrability property of unitary model.

Macdonald deformation of Vogel's universality and link hyperpolynomials CMM formula as superintegrability property of unitary model

Reference 57

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Pith citing papers

Observation 991b824f-4c90-4148-8fb8-7332a1d6f5e8 · inbound

Torus knots in adjoint representation and Vogel's universality cites this paper.

Torus knots in adjoint representation and Vogel's universality Macdonald deformation of Vogel's universality and link hyperpolynomials

Reference 20

Resolution: unresolved; no resolver link, observed 2026-08-07T06:04:23.105204Z

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Observation 7a52c418-c885-41ce-b107-90d9987a946c · inbound

Vogel's universality and Macdonald dimensions cites this paper.

Vogel's universality and Macdonald dimensions Macdonald deformation of Vogel's universality and link hyperpolynomials

Reference 28

Resolution: unresolved; no resolver link, observed 2026-08-06T17:22:33.391406Z

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Observation 0938a3c9-c4ed-4ab8-a813-14f61ce393e9 · inbound

Non-commutative creation operators for symmetric polynomials cites this paper.

Non-commutative creation operators for symmetric polynomials Macdonald deformation of Vogel's universality and link hyperpolynomials

Reference 65

Resolution: verified exact; arxiv_id, observed 2026-05-18T23:56:55.483892Z

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No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation a8c4a3ef-554e-4c56-a17d-bde447b8691d · inbound

A note on universality in refined Chern-Simons theory cites this paper.

A note on universality in refined Chern-Simons theory Macdonald deformation of Vogel's universality and link hyperpolynomials

Reference 36

Resolution: verified exact; arxiv_id, observed 2026-05-13T03:47:12.794992Z

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