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.
The second Yang-Baxter homology for the Homflypt polynomial
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abstract
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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math.GR 1years
2025 1verdicts
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In Search of Homology for Quasigroups of Bol-Moufang Type
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.