Multivariable link invariants arising from Lie superalgebras of type I

Nathan Geer , Bertrand Patureau-Mirand (1)

1 LMAM - Laboratoire de Mathématiques et Applications des Mathématiques, EA 3885

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.

Domaines: Topologie géométrique [math.GT]; Algèbres quantiques [math.QA]

Nathan Geer, Bertrand Patureau-Mirand. Multivariable link invariants arising from Lie superalgebras of type I. Journal of Knot Theory and Its Ramifications, 2010, pp.19, Issue 1 (2010) 93--115. ⟨10.1142/S0218216510007784⟩. ⟨hal-00150496⟩