Partial-dual genus polynomial as a weight system

Fuente: arXiv
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Autor principal: Chmutov, Sergei
Formato: Preprint
Publicado: 2023
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author Chmutov, Sergei
author_facet Chmutov, Sergei
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2307_15211
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle Partial-dual genus polynomial as a weight system
Chmutov, Sergei
Geometric Topology
Combinatorics
05C10, 05C65, 57M15, 57Q15
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.
title Partial-dual genus polynomial as a weight system
topic Geometric Topology
Combinatorics
05C10, 05C65, 57M15, 57Q15
url https://arxiv.org/abs/2307.15211