Sergei Chmutov - Partial-dual genus polynomial as a weight system

cm:11709 - Communications in Mathematics, January 22, 2024, Volume 31 (2023), Issue 3 (Special issue: in memory of Sergei Duzhin) - https://doi.org/10.46298/cm.11709
Partial-dual genus polynomial as a weight systemArticle

Authors: Sergei Chmutov

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.

Comment: Final version for publication in Communications in Mathematics

https://doi.org/10.46298/cm.11709
Source: arXiv.org:2307.15211
Volume: Volume 31 (2023), Issue 3 (Special issue: in memory of Sergei Duzhin)
Published on: January 22, 2024
Accepted on: December 19, 2023
Submitted on: August 8, 2023
Keywords: Mathematics - Geometric Topology, Mathematics - Combinatorics, 05C10, 05C65, 57M15, 57Q15
Licence: CC0 1.0 Universal (CC0 1.0) Public Domain Dedication
Funding:
    Source : OpenAIRE Graph
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