Homology Theory for the Set-Theoretic Yang-Baxter Equation and Knot Invariants from Generalizations of Quandles

Details Homology Theory for the Set-Theoretic Yang-Baxter Equation and Knot Invariants from Generalizations of Quandles Homology Theory for the Set-Theoretic Yang-Baxter Equation and Knot Invariants from Generalizations of Quandles

2002-06-25

arxiv.org/abs/math/0206255v2

Mathematics

Geometric Topology

Substantially rewritten version which includes computations of Yang Baxter cocycles and evaluations on classical an virtual kn

Scientific paper

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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