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arXiv · q-alg/9602014

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

José M Figueroa-O'Farrill·Takashi Kimura·Arkady Vaintrob
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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.

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José M Figueroa-O'Farrill, Takashi Kimura, Arkady Vaintrob. 1996-03-19. The universal Vassiliev invariant for the Lie superalgebra gl(1|1). https://doi.org/10.1007/s002200050083

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