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arXiv · 0706.0084

The Jones and Alexander polynomials for singular links

T. Fiedler
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Abstract

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.

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T. Fiedler. 2007-10-03. The Jones and Alexander polynomials for singular links. https://arxiv.org/abs/0706.0084

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