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- W2552658928 abstract "In 2004, Carter, Elhamdadi and Saito defined a homology theory for set-theoretic Yang-Baxter operators(we will call it the algebraic version in this article). In 2012, Przytycki defined another homology theory for pre-Yang-Baxter operators which has a nice graphic visualization(we will call it the graphic version in this article). We show that they are equivalent. The graphic homology is also defined for pre-Yang-Baxter operators, and we give some examples of it's one-term and two-term homologies. In the two-term case, we have found torsion in homology of Yang-Baxter operator that yields the Jones polynomial." @default.
- W2552658928 created "2016-11-30" @default.
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- W2552658928 date "2016-11-03" @default.
- W2552658928 modified "2023-09-25" @default.
- W2552658928 title "Equivalence of two definitions of set-theoretic Yang-Baxter homology" @default.
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- W2552658928 doi "https://doi.org/10.48550/arxiv.1611.01178" @default.
- W2552658928 hasPublicationYear "2016" @default.
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