The Jones and Alexander polynomials for singular links

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We extend the state models for Jones and Alexander polynomials of classical links to state models of 2-variable polynomials in the case of singular links. Moreover, we extend both of them to polynomials with d+1 variables for long singular knots with exactly d double points. These extensions can detect non-invertibility of long singular knots.
10 pages, 11 figures v.2 : References added v.3 : Results improved

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Geometric Topology, 57M25

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http://salesiana.dossiersoluciones.com/handle/123456789/139127

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0706.0084
 http://arxiv.org/abs/0706.0084

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arXiv