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math.GT2020
The second Yang-Baxter homology for the Homflypt polynomial
Jozef H. Przytycki, Xiao Wang
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.…
math.GT2020
The geometric realization of a normalized set-theoretic Yang-Baxter homology of biquandles
Xiao Wang, Seung Yeop Yang
Biracks and biquandles, which are useful for studying the knot theory, are special families of solutions of the set-theoretic Yang-Baxter equation. A homology theory for the set-th…