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

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

1996-02-05

arxiv.org/abs/q-alg/9602014v2

Commun.Math.Phys. 185 (1997) 93-127

Physics

High Energy Physics

High Energy Physics - Theory

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

Scientific paper

10.1007/s002200050083

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.

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