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)

Conference Homepage


On some versions of Khovanov homology
by
Noboru Ito
Waseda University, Tokyo, Japan

In this talk, we introduce explicit chain homotopy maps and retractions for the invariance of Khovanov homology by Asaeda, Przytycki and Sikora using an interpretation of Khovanov homology by Viro. Viro gave another interpretation of Khovanov homology for generalized Jones polynomials of tangles introduced by Reshetikhin and Turaev. Then, if time permits, we try to apply this interpretation to a categorification of an operator invariant of colored tangles.

Date received: November 30, 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-28.