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arxiv: math/0609034 · v2 · submitted 2006-09-01 · 🧮 math.GT · math.QA

Multivariable link invariants arising from Lie superalgebras of type I

Nathan Geer , Bertrand Patureau-Mirand This is my paper
classification 🧮 math.GT math.QA
keywords invariantslinkmultivariabletypearisingassociatedbasicclassical
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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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    Defines the three-variable superalgebra series F_K(y,z,q) for knot complements, derives its surgery relation to hat Z(q), and computes examples for torus knots.