Geodesic
Quantum link invariant from the Lie superalgebra D2 1,α
Patureau-Mirand, Bertrand1
1LMAM Université de Bretagne-Sud, Centre de Recherche, Campus de Tohannic, BP 573, F-56017 Vannes, France
Algebraic and Geometric Topology, Tome 6 (2006) no. 1, pp. 329-349
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The usual construction of link invariants from quantum groups applied to the superalgebra D21,α is shown to be trivial. One can modify this construction to get a two variable invariant. Unusually, this invariant is additive with respect to connected sum or disjoint union. This invariant contains an infinity of Vassiliev invariants that are not seen by the quantum invariants coming from Lie algebras (so neither by the colored HOMFLY-PT nor by the colored Kauffman polynomials).

DOI : 10.2140/agt.2006.6.329
Keywords: finite type invariants, quantum groups, Lie superalgebra

Patureau-Mirand, Bertrand  1

1 LMAM Université de Bretagne-Sud, Centre de Recherche, Campus de Tohannic, BP 573, F-56017 Vannes, France 
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Patureau-Mirand, Bertrand. Quantum link invariant from the Lie superalgebra D2 1,α. Algebraic and Geometric Topology, Tome 6 (2006) no. 1, pp. 329-349. doi: 10.2140/agt.2006.6.329

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