Paper Citation Record · LEDGER

Construction of Lie algebra weight system kernel via Vogel algebra

As of 13 August 2026, this Paper Citation Record lists 56 of 56 outbound references and 5 inbound Pith citation observations for arXiv:2411.14417.

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2411.14417 v2

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Outbound references

Observation fdd8d3d5-4f07-4c50-a883-d4dc224a3f93 · outbound

This paper cites The Jones Polynomial.

Construction of Lie algebra weight system kernel via Vogel algebra The Jones Polynomial

Reference 1

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Observation 753fe8bc-ad77-4b6c-9740-67e2b5c49dbc · outbound

This paper cites Hecke Algebra Representations of Braid Group s and Link Polynomials.

Construction of Lie algebra weight system kernel via Vogel algebra Hecke Algebra Representations of Braid Group s and Link Polynomials

Reference 2

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Observation 26260d18-aa57-4a8f-81ff-cd333305bf10 · outbound

This paper cites A polynomial invariant for knots via von Neumann algebras.

Construction of Lie algebra weight system kernel via Vogel algebra A polynomial invariant for knots via von Neumann algebras

Reference 3

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Observation b52112a4-0cef-46ba-8fe7-080b307c8837 · outbound

This paper cites A new polynomial invariant of knots and links.

Construction of Lie algebra weight system kernel via Vogel algebra A new polynomial invariant of knots and links

Reference 4

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Observation fb291772-7326-4250-a84c-68b7d7300743 · outbound

This paper cites Invariants of links of Conway type.

Construction of Lie algebra weight system kernel via Vogel algebra Invariants of links of Conway type

Reference 5

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Observation 1d1084f7-43e3-4dbc-9386-02bab57bae62 · outbound

This paper cites An invariant of regular isotopy.

Construction of Lie algebra weight system kernel via Vogel algebra An invariant of regular isotopy

Reference 6

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Observation 57d4e2a0-3092-40e1-ac22-d16c74b2f85d · outbound

This paper cites State sum invariants of 3-manifolds an d quantum 6j-symbols.

Construction of Lie algebra weight system kernel via Vogel algebra State sum invariants of 3-manifolds an d quantum 6j-symbols

Reference 7

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Observation 72fdced8-267d-4250-a480-d548a47731c8 · outbound

This paper cites Ribbon graphs and th eir invaraints derived from quantum groups.

Construction of Lie algebra weight system kernel via Vogel algebra Ribbon graphs and th eir invaraints derived from quantum groups

Reference 8

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Observation 09d61143-a940-4f4d-9085-077c2d50c473 · outbound

This paper cites Universal R matrices and invariants of qu antum supergroups.

Construction of Lie algebra weight system kernel via Vogel algebra Universal R matrices and invariants of qu antum supergroups

Reference 9

Resolution: verified exact; doi, observed 2026-08-12T15:17:25.065406Z

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Observation 5326b728-81af-4282-94e0-1c44d442ad0a · outbound

This paper cites S and T matrices for the super $U(1,1)$ WZW model. Application to surgery and 3-manifold invariants based on the Alexander Conway polynomial.

Construction of Lie algebra weight system kernel via Vogel algebra S and T matrices for the super $U(1,1)$ WZW model. Application to surgery and 3-manifold invariants based on the Alexander Conway polynomial

Reference 10

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Observation 78c7d06f-c733-4e5b-bd43-020136591d06 · outbound

This paper cites The Kontsevich integral and quantized Lie superalgebras.

Construction of Lie algebra weight system kernel via Vogel algebra The Kontsevich integral and quantized Lie superalgebras

Reference 11

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Observation c2a46e0e-49db-48a2-a820-8ed1776fba83 · outbound

This paper cites Quantum Relatives of Alexander Polynomial.

Construction of Lie algebra weight system kernel via Vogel algebra Quantum Relatives of Alexander Polynomial

Reference 12

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Observation c5562a7b-3d07-4fad-aedd-b14a534c52d4 · outbound

This paper cites A note on the gl(m|n) link invariants and the HOMFLY-PT polynomial.

Construction of Lie algebra weight system kernel via Vogel algebra A note on the gl(m|n) link invariants and the HOMFLY-PT polynomial

Reference 13

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Observation 925591b6-43dc-48c4-a422-dd6695ad76c6 · outbound

This paper cites The partition function of degenerate quad ratic functional and Ray-Singer invariants.

Construction of Lie algebra weight system kernel via Vogel algebra The partition function of degenerate quad ratic functional and Ray-Singer invariants

Reference 14

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Observation c6fe4ad8-117b-4efd-b1e0-6446744e0bee · outbound

This paper cites The partition function of a degenerate fun ctional.

Construction of Lie algebra weight system kernel via Vogel algebra The partition function of a degenerate fun ctional

Reference 15

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Observation 7c036367-a2b5-420f-adcd-c40b0a046f24 · outbound

This paper cites New topological invariants arising in the theo ry of quantized ﬁelds.

Construction of Lie algebra weight system kernel via Vogel algebra New topological invariants arising in the theo ry of quantized ﬁelds

Reference 16

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Observation b1629545-5f0c-4c17-9ee0-6e5d2d58224d · outbound

This paper cites Quantum ﬁeld theory and the Jones polynomial.

Construction of Lie algebra weight system kernel via Vogel algebra Quantum ﬁeld theory and the Jones polynomial

Reference 17

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Observation 02de324a-4eb4-4145-8528-cd0d6e0c82a9 · outbound

This paper cites Topological quantum ﬁeld theory.

Construction of Lie algebra weight system kernel via Vogel algebra Topological quantum ﬁeld theory

Reference 18

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Observation 6fa04f27-6640-4483-808e-057e2fd13ffb · outbound

This paper cites Characteristic forms and geometric invariants.

Construction of Lie algebra weight system kernel via Vogel algebra Characteristic forms and geometric invariants

Reference 19

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Observation 3aceb06c-8442-4105-97b1-b460b94ccdbe · outbound

This paper cites Perturbative asp ects of the Chern-Simons ﬁeld theory.

Construction of Lie algebra weight system kernel via Vogel algebra Perturbative asp ects of the Chern-Simons ﬁeld theory

Reference 20

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Observation c880adcf-4de6-46d5-bbc9-8460665fc958 · outbound

This paper cites Wilson lines in Chern- Simons theory and link invariants.

Construction of Lie algebra weight system kernel via Vogel algebra Wilson lines in Chern- Simons theory and link invariants

Reference 21

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Observation 3e2aa95e-6272-4367-a23d-5ee8138a2758 · outbound

This paper cites Three Dimensional Chern-Simons Theory as a Theory of Knots and Links.

Construction of Lie algebra weight system kernel via Vogel algebra Three Dimensional Chern-Simons Theory as a Theory of Knots and Links

Reference 22

Resolution: verified exact; local_arxiv, observed 2026-08-12T15:17:25.586327Z

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Observation cf40ea84-b4d1-4731-bc68-da0abeda06fe · outbound

This paper cites Three Dimensional Chern-Simons Theory as a Theory of Knots and Links III : Compact Semi-simple Group.

Construction of Lie algebra weight system kernel via Vogel algebra Three Dimensional Chern-Simons Theory as a Theory of Knots and Links III : Compact Semi-simple Group

Reference 23

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Observation 9f6b4dd7-3948-4553-a8f2-3f7ec0d6499a · outbound

This paper cites Knot invariants from rational conformal field theories.

Construction of Lie algebra weight system kernel via Vogel algebra Knot invariants from rational conformal field theories

Reference 24

Resolution: verified exact; local_arxiv, observed 2026-08-12T15:17:25.543927Z

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Observation 2c5754ae-9fa2-4931-881e-cac0a65a3552 · outbound

This paper cites Representations of Composite Braids and Invariants for Mutant Knots and Links in Chern-Simons Field Theories.

Construction of Lie algebra weight system kernel via Vogel algebra Representations of Composite Braids and Invariants for Mutant Knots and Links in Chern-Simons Field Theories

Reference 25

Resolution: verified exact; local_arxiv, observed 2026-08-12T15:17:25.520523Z

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Observation 1f05156e-3e52-4a8e-bb71-065e920c35fa · outbound

This paper cites Knot Invariants and Topological Strings.

Construction of Lie algebra weight system kernel via Vogel algebra Knot Invariants and Topological Strings

Reference 26

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Observation d20e2cb1-fda0-42ea-82fc-5994de8db77c · outbound

This paper cites Polynomial invariants for torus knots and topological strings.

Construction of Lie algebra weight system kernel via Vogel algebra Polynomial invariants for torus knots and topological strings

Reference 27

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Observation 92472308-5eba-4fde-8f14-3789b0e9abd8 · outbound

This paper cites Knots, links and branes at large N.

Construction of Lie algebra weight system kernel via Vogel algebra Knots, links and branes at large N

Reference 28

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Observation 0c148934-1c15-46dd-9475-bfcf87bcba68 · outbound

This paper cites A New Point of View in the Theory of Knot and Link Invariants.

Construction of Lie algebra weight system kernel via Vogel algebra A New Point of View in the Theory of Knot and Link Invariants

Reference 29

Resolution: verified exact; local_arxiv, observed 2026-08-12T15:17:25.447660Z

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Observation 22c4681c-bbc9-4a6c-9fc3-a83fcf5f3106 · outbound

This paper cites Framed knots at large N.

Construction of Lie algebra weight system kernel via Vogel algebra Framed knots at large N

Reference 30

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Observation 78a5c5e9-19c0-45c0-af9c-3d7f5f523856 · outbound

This paper cites Knot polynomials and Vassiliev’s in variants.

Construction of Lie algebra weight system kernel via Vogel algebra Knot polynomials and Vassiliev’s in variants

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T15:17:25.878955Z

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Observation 755f35f8-f801-47e9-bd82-f4740c170db8 · outbound

This paper cites Cohomology of knot spaces.

Construction of Lie algebra weight system kernel via Vogel algebra Cohomology of knot spaces

Reference 32

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T15:17:25.860283Z

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Observation eee5c2a3-5984-4b32-9c13-fa6832cfecff · outbound

This paper cites On the Vassiliev knot invariants.

Construction of Lie algebra weight system kernel via Vogel algebra On the Vassiliev knot invariants

Reference 33

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T15:17:25.843483Z

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Observation 8b68d6c0-73a1-4172-bc9a-a29d33c02dc4 · outbound

This paper cites Vassiliev’s knot invariants.

Construction of Lie algebra weight system kernel via Vogel algebra Vassiliev’s knot invariants

Reference 34

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T15:17:25.827308Z

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Observation d7c0e502-c77c-4a0d-8b0b-6bbccc62fb32 · outbound

This paper cites Algebraic structures on modules of diagrams.

Construction of Lie algebra weight system kernel via Vogel algebra Algebraic structures on modules of diagrams

Reference 35

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T15:17:25.811664Z

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Observation e7bbeb77-ae6d-4799-b9d9-15b5ad6c78de · outbound

This paper cites New approaches to $\mathfrak{gl}_N$ weight system.

Construction of Lie algebra weight system kernel via Vogel algebra New approaches to $\mathfrak{gl}_N$ weight system

Reference 36

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Observation b36568e5-410c-4260-a367-8d3d76d9cb79 · outbound

This paper cites Weight systems and invariants of graphs and embedded graphs.

Construction of Lie algebra weight system kernel via Vogel algebra Weight systems and invariants of graphs and embedded graphs

Reference 37

Resolution: verified exact; local_arxiv, observed 2026-08-12T15:17:25.392312Z

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Observation 4c5e92d1-677f-4f48-a594-b46c6c1383f2 · outbound

This paper cites Numerical knot invariants of finite type from Chern-Simons perturbation theory.

Construction of Lie algebra weight system kernel via Vogel algebra Numerical knot invariants of finite type from Chern-Simons perturbation theory

Reference 38

Resolution: verified exact; local_arxiv, observed 2026-08-12T15:17:25.370307Z

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Observation 2d857a16-d410-420a-8107-36b2b88250f9 · outbound

This paper cites Implications for colored HOMFLY polynomials from explicit formulas for group-theoretical structure.

Construction of Lie algebra weight system kernel via Vogel algebra Implications for colored HOMFLY polynomials from explicit formulas for group-theoretical structure

Reference 39

Resolution: verified exact; local_arxiv, observed 2026-08-12T15:17:25.347753Z

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Observation 41f8291d-3e62-43ff-9d9f-c1f8fe1c1038 · outbound

This paper cites On Vassiliev Invariants not Coming from Semisimple Lie Algebras.

Construction of Lie algebra weight system kernel via Vogel algebra On Vassiliev Invariants not Coming from Semisimple Lie Algebras

Reference 40

Resolution: verified exact; local_arxiv, observed 2026-08-12T15:17:25.325875Z

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Observation 77031d05-54e6-4c5f-822a-987b62503ec9 · outbound

This paper cites The universal Lie algebra.

Construction of Lie algebra weight system kernel via Vogel algebra The universal Lie algebra

Reference 41

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T15:17:25.794822Z

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Observation 2741925d-76a1-4ca8-928d-4ede5a7aaebe · outbound

This paper cites Introduction to Vassiliev knot invariants.

Construction of Lie algebra weight system kernel via Vogel algebra Introduction to Vassiliev knot invariants

Reference 42

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T15:17:25.777257Z

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Observation 14dbf261-a115-41e2-8dfc-61d2719c8f3c · outbound

This paper cites Weights of Feynman diagrams and the Vassilie v knot invariants.

Construction of Lie algebra weight system kernel via Vogel algebra Weights of Feynman diagrams and the Vassilie v knot invariants

Reference 43

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T15:17:25.760203Z

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Observation c2b43509-0391-45af-8a66-c2b2b3d0df4a · outbound

This paper cites On spaces of connected graphs II: Relations in the algebra Lambda.

Construction of Lie algebra weight system kernel via Vogel algebra On spaces of connected graphs II: Relations in the algebra Lambda

Reference 44

Resolution: malformed identifier; no resolver link, observed 2026-08-12T15:17:24.889399Z

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Observation 428edb5a-1ae4-4768-b5c2-259f66725ac1 · outbound

This paper cites Casimir eigenvalues for universal Lie algebra.

Construction of Lie algebra weight system kernel via Vogel algebra Casimir eigenvalues for universal Lie algebra

Reference 45

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Observation 2b659005-7206-4ed0-905b-188b9616f686 · outbound

This paper cites A universal dimension formula for complex simple Lie algebras.

Construction of Lie algebra weight system kernel via Vogel algebra A universal dimension formula for complex simple Lie algebras

Reference 46

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Observation 6712818e-1381-4ea2-a1a5-674092beccfe · outbound

This paper cites The split Casimir operator and solutions of the Yang-Baxter equation for the $osp(M|N)$ and $s\ell(M|N)$ Lie superalgebras, higher Casimir operators, and the Vogel parameters.

Construction of Lie algebra weight system kernel via Vogel algebra The split Casimir operator and solutions of the Yang-Baxter equation for the $osp(M|N)$ and $s\ell(M|N)$ Lie superalgebras, higher Casimir operators, and the Vogel parameters

Reference 47

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Observation e9478ad7-3ba5-4307-be27-3b391cf7b6d4 · outbound

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

Construction of Lie algebra weight system kernel via Vogel algebra Universal volume of groups and anomaly of Vogel's symmetry

Reference 48

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Observation e56c7fbd-238f-423f-a49f-8a6a75434900 · outbound

This paper cites On universal knot polynomials.

Construction of Lie algebra weight system kernel via Vogel algebra On universal knot polynomials

Reference 49

Resolution: unresolved; no resolver link, observed 2026-08-12T15:17:24.914665Z

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Observation 493f7e80-a45c-4cf5-a7bd-f3f0c67fd292 · outbound

This paper cites Chern-Simons perturbative series revisited.

Construction of Lie algebra weight system kernel via Vogel algebra Chern-Simons perturbative series revisited

Reference 50

Resolution: verified exact; local_arxiv, observed 2026-08-12T15:17:25.206408Z

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Observation ae6e789e-6c6b-4697-8982-1fc588842a25 · outbound

This paper cites Homological invariants of knots: algorithm and calc ulations.

Construction of Lie algebra weight system kernel via Vogel algebra Homological invariants of knots: algorithm and calc ulations

Reference 51

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T15:17:25.743538Z

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Observation e2ad83bb-4435-40c0-a511-5a9f9e8e6952 · outbound

This paper cites The number of primitive Vassiliev invariants up to degree 12.

Construction of Lie algebra weight system kernel via Vogel algebra The number of primitive Vassiliev invariants up to degree 12

Reference 52

Resolution: verified exact; local_arxiv, observed 2026-08-12T15:17:25.183649Z

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Observation e67de840-159d-4118-a227-2f6f3331566d · outbound

This paper cites Kontsevich integral for knots and Vassiliev invariants.

Construction of Lie algebra weight system kernel via Vogel algebra Kontsevich integral for knots and Vassiliev invariants

Reference 53

Resolution: verified exact; local_arxiv, observed 2026-08-12T15:17:25.160109Z

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Observation 95bd2bdd-be1f-4c4a-b105-2a45d7cf1a6f · outbound

This paper cites The knot atlas http://katlas. org/wiki.

Construction of Lie algebra weight system kernel via Vogel algebra The knot atlas http://katlas. org/wiki

Reference 54

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T15:17:25.727049Z

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Observation bf323297-4271-43b9-a8b0-0b96a575973d · outbound

This paper cites an unresolved cited work.

Construction of Lie algebra weight system kernel via Vogel algebra Unresolved cited work

Reference 55

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Observation 42b5ca42-7a84-4ca1-92d0-73eeed126301 · outbound

This paper cites Invariants of links of Conway type.

Construction of Lie algebra weight system kernel via Vogel algebra Invariants of links of Conway type

Reference 139

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Pith citing papers

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

Macdonald deformation of Vogel's universality and link hyperpolynomials cites this paper.

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 f5d4b7a9-b924-4f05-9dfd-ccc49a57ec51 · inbound

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

Torus knots in adjoint representation and Vogel's universality Construction of Lie algebra weight system kernel via Vogel algebra

Reference 19

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Observation e8bbfa6b-d27d-493e-8554-b9d3d3ede02c · inbound

Vogel's universality and Macdonald dimensions cites this paper.

Vogel's universality and Macdonald dimensions Construction of Lie algebra weight system kernel via Vogel algebra

Reference 19

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Observation 80ab72e5-7e85-4ae7-a3c2-2307ce7df8ac · inbound

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

A note on universality in refined Chern-Simons theory Construction of Lie algebra weight system kernel via Vogel algebra

Reference 4

Resolution: verified exact; arxiv_id, observed 2026-05-13T03:47:12.828096Z

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Observation 3c3f9f2b-da53-4f1d-ba50-10d777423afc · inbound

Diagrammatic technique for Vogel's universality cites this paper.

Diagrammatic technique for Vogel's universality Construction of Lie algebra weight system kernel via Vogel algebra

Reference 24

Resolution: verified exact; arxiv_id, observed 2026-05-15T06:05:06.983646Z

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