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The second Yang-Baxter homology for the Homflypt polynomial

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arxiv 2004.07413 v1 pith:5KJTKXST submitted 2020-04-16 math.GT math.QA

Jozef H. Przytycki , Xiao Wang This is my paper · ORCID
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keywords yang-baxterhomflypthomologyoperatorssecondadjustarticlecocycle
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In this article, we adjust the Yang-Baxter operators constructed by Jones for the HOMFLYPT polynomal. Then we compute the second homology for this family of Yang-Baxter operators. It has the potential to yield 2-cocycle invariant for links.

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Cited by 1 Pith paper

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  1. In Search of Homology for Quasigroups of Bol-Moufang Type

    math.GR 2025-08 conditional novelty 6.0 of 10

    The paper defines ∂2 and ∂3 boundary maps for Bol-Moufang quasigroups and computes H1 and H2 for the distinguishing examples of Phillips and Vojtechovsky.

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