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arXiv · 0810.4105

Elementary combinatorics of the HOMFLYPT polynomial

Sergei Chmutov·Michael Polyak
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Abstract

We explore Jaeger's state model for the HOMFLYPT polynomial. We reformulate this model in the language of Gauss diagrams and use it to obtain Gauss diagram formulas for a two-parameter family of Vassiliev invariants coming from the HOMFLYPT polynomial. These formulas are new already for invariants of degree 3.

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Sergei Chmutov, Michael Polyak. 2009-06-21. Elementary combinatorics of the HOMFLYPT polynomial. https://doi.org/10.1093/imrn%2Frnp137

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