Quaternionic Invariants of Virtual Knots and Links

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In this paper we define and give examples of a family of polynomial invariants of virtual knots and links. They arise by considering certain 2$\times$2 matrices with entries in a possibly non-commutative ring, for example the quaternions. These polynomials are sufficiently powerful to distinguish the Kishino knot from any classical knot, including the unknot.
21 pages, 13 figures, accepted by JKTR

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Geometric Topology, Rings and Algebras, 57M25

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http://salesiana.dossiersoluciones.com/handle/123456789/117981

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0610484
 http://arxiv.org/abs/math/0610484

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arXiv