Partial-dual genus polynomial as a weight system

Abstract

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.

Final version for publication in Communications in Mathematics

References in corpus (2)

• On the primitive subspace of Lando framed graph bialgebra
• Twist monomials of binary delta-matroids