Topology Atlas | Conferences

Knots in Washington XXX; Categorification, Quantum knots and Quantum computing
May 19-21, 2010
George Washington University
Washington, DC, USA

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

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Color and orientation in sl(N)-homology
by
Hao Wu
George Washington University

An interesting fact I learned from Alex Shumakovitch is that Khovanov homology is not very sensitive to orientation changes. Roughly speaking, if you reverse the orientation of a component of a link, then the Khovanov homology changes only by an overall grading shift.

In this talk, I will explain why the colored sl(N)-homology is not very sensitive to orientation changes either. Roughly speaking, if you reverse the orientation of a component of a colored link and change its color from k to N-k, then the sl(N)-homology changes only by an overall grading shift. Since 2-1=1, this generalizes the above observation.

Date received: May 14, 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 # cbaf-23.