The universal Vassiliev invariant for the Lie superalgebra gl(1|1)
José M Figueroa-O'Farrill, Takashi Kimura, Arkady Vaintrob
Abstract
We compute the universal weight system for Vassiliev invariants coming from the Lie superalgebra gl(1|1) applying the construction of 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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