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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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Self duality of odd Khovanov homology
by
Krzysztof Putyra
Columbia University
Coauthors: Wojciech Lubawski, Polish Academy of Sciences

An odd Khovanov homology is a modification of sl_2 link homology defined in 2008 by P. Ozsvath and Z. Szabo. Instead of a symmetric algebra they used an antisymmetric one and got a different link homology theory that categorifies the Jones polynomial. One year later I generalized both constructions to a theory with three parameters. Together with W. Lubawski we were able to get rid of two of them. One of the consequences is a self-duality of odd homology conjectured by A. Shumakovitch.

Date received: November 6, 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-11.