Topology Atlas | Conferences

Knots in Washington XXXI; Categorification, Quandles, Quantum knots and Quantum computing
December 3-5, 2010
George Washington University
Washington, DC, USA

Organizers
Valentina Harizanov (GWU), Jozef H. Przytycki (GWU), Yongwu Rong (GWU, NSF), Radmila Sazdanovic (U.Penn), Alexander Shumakovitch (GWU), Hao Wu (GWU)

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Link invariants a la Alexander module
by
Oleg Viro
SUNY Stony Brook

Seifert's calculation of the Alexander module via Seifert surface can be modified to use with TQFT or Khovanov homology instead of the ordinary homology. With TQFT based on sl2, it gives rise to a construction assigning to a classical link a vector space with an operator whose trace is the value of the colored Jones polynomial at a root of unity. With Khovanov homology, it gives rise to a construction assigning to a surface in S3 ×S1 a bigraded module over the ring of Laurent polynomials.

Date received: November 24, 2010

Copyright © 2010 by the author(s). The author(s) of this work and the organizers of the conference have granted their consent to include this abstract in Topology Atlas. Document # cbbr-19.