The Kontsevich integral and re-normalized link invariants arising from Lie superalgebras

TL;DR

This paper demonstrates that re-normalized link invariants derived from Lie superalgebras are Vassiliev invariants, establishing a connection to canonical weight systems and advancing the understanding of link invariants.

Contribution

It introduces a new family of link invariants from Lie superalgebras that are shown to be Vassiliev invariants, linking algebraic structures to topological invariants.

Findings

Re-normalized link invariants are Vassiliev invariants.

These invariants give rise to canonical weight systems.

The work connects Lie superalgebra invariants with Vassiliev invariants.

Abstract

We show that the coefficients of the re-normalized link invariants of the paper "Multivariable link invariants arising from Lie superalgebras of type I" are Vassiliev invariants which give rise to a canonical family of weight systems.