Volume 6, issue 1 (2006)

Download this article
Download this article For screen
For printing
Recent Issues

Volume 17
Issue 6, 3213–3852
Issue 5, 2565–3212
Issue 4, 1917–2564
Issue 3, 1283–1916
Issue 2, 645–1281
Issue 1, 1–643

Volume 16, 6 issues

Volume 15, 6 issues

Volume 14, 6 issues

Volume 13, 6 issues

Volume 12, 4 issues

Volume 11, 5 issues

Volume 10, 4 issues

Volume 9, 4 issues

Volume 8, 4 issues

Volume 7, 4 issues

Volume 6, 5 issues

Volume 5, 4 issues

Volume 4, 2 issues

Volume 3, 2 issues

Volume 2, 2 issues

Volume 1, 2 issues

The Journal
About the Journal
Subscriptions
Editorial Board
Editorial Interests
Editorial Procedure
Submission Guidelines
Submission Page
Author Index
To Appear
ISSN (electronic): 1472-2739
ISSN (print): 1472-2747
Quantum link invariant from the Lie superalgebra ${\mathfrak D}_{2 1,\alpha}$

Bertrand Patureau-Mirand

Algebraic & Geometric Topology 6 (2006) 329–349

arXiv: math.GT/0404548

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).

Keywords
finite type invariants, quantum groups, Lie superalgebra
Mathematical Subject Classification 2000
Primary: 57M25
Secondary: 57M27, 17B37
References
Forward citations
Publication
Received: 1 February 2005
Accepted: 15 August 2005
Published: 12 March 2006
Authors
Bertrand Patureau-Mirand
LMAM Université de Bretagne-Sud
Centre de Recherche
Campus de Tohannic
BP 573
F-56017 Vannes
France
http://www.univ-ubs.fr/lmam/patureau/