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

Published 8 Jul 2015 in math.GT | (1507.02232v1)

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

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