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

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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.
9 pages

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Quantum Algebra, Geometric Topology

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http://salesiana.dossiersoluciones.com/handle/123456789/143185

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0404010
 http://arxiv.org/abs/math/0404010
 Comm. Algebra 33:7 (2005) 2375-2385

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arXiv