Twist polynomial as a weight system for set systems
Combinatorics
2024-04-17 v1
Abstract
Recently, Chmutov proved that the partial-dual polynomial considered as a function on chord diagrams satisfies the four-term relation. Deng et al. then proved that this function on framed chord diagrams also satisfies the four-term relation, i.e., is a framed weight system. In this paper, we extend their results to the twist polynomial of a set system by proving that the twist polynomial on set systems satisfies the four-term relation.
Keywords
Cite
@article{arxiv.2404.10216,
title = {Twist polynomial as a weight system for set systems},
author = {Qingying Deng and Xian'an Jin and Qi Yan},
journal= {arXiv preprint arXiv:2404.10216},
year = {2024}
}
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11 pages