Homology Theory for the Set-Theoretic Yang-Baxter Equation and Knot Invariants from Generalizations of Quandles
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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.
Substantially rewritten version which includes computations of Yang Baxter cocycles and evaluations on classical an virtual knots
Substantially rewritten version which includes computations of Yang Baxter cocycles and evaluations on classical an virtual knots