Partial-dual polynomial as a framed weight system

Qingying Deng, Fengming Dong, Xian'an Jin, Qi Yan

Published 2024-02-06Version 1

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.