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

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/64385A 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 knotsGeometric TopologyQuantum Algebra57Q45, 57N99,57M25,57T99Homology Theory for the Set-Theoretic Yang-Baxter Equation and Knot Invariants from Generalizations of Quandlestext