Homology theory for the set-theoretic Yang-Baxter equation and knot invariants from generalizations of quandles

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Abstract

A homology theory is developed for set-theoretic Yang-Baxter equations, and knot invariants are constructed by generalized colorings by biquandles and Yang-Baxter cocycles.

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Carter, J. S., Elhamdadi, M., & Saito, M. (2004). Homology theory for the set-theoretic Yang-Baxter equation and knot invariants from generalizations of quandles. Fundamenta Mathematicae, 184(1–3), 31–54. https://doi.org/10.4064/fm184-0-3

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