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Colored HOMFLY polynomial via skein theory

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arxiv 1206.5886 v1 pith:OYAEMVIP submitted 2012-06-26 math.GT hep-thmath-phmath.MP

Shengmao Zhu This is my paper · ORCID
classification math.GThep-thmath-phmath.MP
keywords homflycoloredpolynomialskeinsometheorybehaviorslimit
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In this paper, we study the properties of the colored HOMFLY polynomials via HOMFLY skein theory. We prove some limit behaviors and symmetries of the colored HOMFLY polynomial predicted in some physicists' recent works.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Torus knots in adjoint representation and Vogel's universality

    hep-th 2025-06 conditional novelty 6.0 of 10

    Universal adjoint invariants for T[4,n] torus knots are constructed via Vogel's universality, completing the T[4,n] case after previous T[2,n] and T[3,n] results.

  2. Two roles of Alexander in two Kashaev phases

    hep-th 2026-05 unverdicted novelty 5.0 of 10

    Alexander polynomials appear in two opposite roles in two Kashaev phases of Chern-Simons theory due to co-existing branches in the quasiclassical limit with non-trivial versus vanishing classical actions.

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