The universal Vassiliev invariant for the Lie superalgebra gl(1|1)

Abstract

We compute the universal weight system for Vassiliev invariants coming from the Lie superalgebra gl(1|1) applying the construction of \cite{YB}. This weight system is a function from the space of chord diagrams to the center $Z$ of the universal enveloping algebra of gl(1|1), and we find a combinatorial expression for it in terms of the standard generators of $Z$. The resulting knot invariants generalize the Alexander-Conway polynomial.

44 pages with figures, wrapped with uufiles, requires epsf.sty -- Added a short section about deframing

References in corpus (1)

• S and T matrices for the super $U(1,1)$ WZW model. Application to surgery and 3-manifold invariants based on the Alexander Conway polynomial

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