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Article Dans Une Revue Commun. Algebra Année : 2005

Yang-Baxter operators arising from algebra structures and the Alexander polynomial of knots

Résumé

In this note, we consider the problem of constructing knot invariants from Yang-Baxter operators associated to (unitary associative) algebra structures. We first compute the enhancements of these operators. Then, we conclude that Turaev's procedure to construct knot invariants, as modified by Murakami, invariably produces from those enhanced Yang-Baxter operators the Alexander polynomial.

Dates et versions

hal-00135206 , version 1 (07-03-2007)

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Gwenael Massuyeau, Florin F. Nichita. Yang-Baxter operators arising from algebra structures and the Alexander polynomial of knots. Commun. Algebra, 2005, 33 (7), pp.2375-2385. ⟨hal-00135206⟩
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