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Multivariable link invariants arising from Lie superalgebras of type I

Nathan Geer·Bertrand Patureau-Mirand
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Abstract

This paper generalize [7](math.GT/0601291): We construct new links invariants from g, a type I basic classical Lie superalgebra. The construction uses the existence of an unexpected replacement of the vanishing quantum dimension of typical module. Using this, we get a multivariable link invariant associated to any one parameter family of irreducible g-modules.

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Nathan Geer, Bertrand Patureau-Mirand. 2007-10-01. Multivariable link invariants arising from Lie superalgebras of type I. https://arxiv.org/abs/math/0609034

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