Partial-dual genus polynomial as a weight system

Sergei Chmutov

doi:10.46298/cm.11709

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arXiv · 2307.15211

Partial-dual genus polynomial as a weight system

Sergei Chmutov

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Abstract

We prove that the partial-dual genus polynomial considered as a function on chord diagrams satisfies the four-term relation. Thus it is a weight system from the theory of Vassiliev knot invariants.

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Sergei Chmutov. 2024-01-18. Partial-dual genus polynomial as a weight system. https://doi.org/10.46298/cm.11709

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