Partial-dual polynomial as a framed weight system

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.

10pages, 11figures

References in corpus (3)

• On a conjecture of Gross, Mansour and Tucker
• On the primitive subspace of Lando framed graph bialgebra
• Partial-dual genus polynomials and signed intersection graphs