English

Partial-dual polynomial as a framed weight system

Combinatorics 2024-08-07 v2

Abstract

Recently, Chmutov proved that the partial-dual polynomial considered as a function on chord diagrams satisfies the four-term relations. In this paper, we show that this function on framed chord diagrams also satisfies the four-term relations, i.e., is a framed weight system.

Keywords

Cite

@article{arxiv.2402.03799,
  title  = {Partial-dual polynomial as a framed weight system},
  author = {Qingying Deng and Fengming Dong and Xian'an Jin and Qi Yan},
  journal= {arXiv preprint arXiv:2402.03799},
  year   = {2024}
}

Comments

10pages, 11figures

R2 v1 2026-06-28T14:39:49.479Z