Link and knot invariants from non-abelian Yang-Baxter 2-cocycles

2015/07/08 by Farinati, Marco A., Galofre, Juliana García
#57M25 #FOS: Mathematics #Geometric Topology (math.GT)

paper · doi:10.48550/arxiv.1507.02232

Abstract

We define a knot/link invariant using set theoretical solutions (X,σ) of the Yang-Baxter equation and non commutative 2-cocycles. We also define, for a given (X,σ), a universal group Unc(X) governing all 2-cocycles in X, and we exhibit examples of computations.

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