Partial-dual genus polynomial as a weight system
Geometric Topology
2024-02-14 v3 Combinatorics
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.
Keywords
Cite
@article{arxiv.2307.15211,
title = {Partial-dual genus polynomial as a weight system},
author = {Sergei Chmutov},
journal= {arXiv preprint arXiv:2307.15211},
year = {2024}
}
Comments
Final version for publication in Communications in Mathematics