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2006 Quantum link invariant from the Lie superalgebra ${\mathfrak D}_{2 1,\alpha}$
Bertrand Patureau-Mirand
Algebr. Geom. Topol. 6(1): 329-349 (2006). DOI: 10.2140/agt.2006.6.329

Abstract

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).

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Bertrand Patureau-Mirand. "Quantum link invariant from the Lie superalgebra ${\mathfrak D}_{2 1,\alpha}$." Algebr. Geom. Topol. 6 (1) 329 - 349, 2006. https://doi.org/10.2140/agt.2006.6.329

Information

Received: 1 February 2005; Accepted: 15 August 2005; Published: 2006
First available in Project Euclid: 20 December 2017

zbMATH: 1103.57011
MathSciNet: MR2220680
Digital Object Identifier: 10.2140/agt.2006.6.329

Subjects:
Primary: 57M25
Secondary: 17B37, 57M27

Rights: Copyright © 2006 Mathematical Sciences Publishers

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Vol.6 • No. 1 • 2006
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