Topology Atlas | Conferences

Knots in Washington XXXVI
May 3-5, 2013
George Washington University
Washington, DC, USA

Organizers
Mieczyslaw K. Dabkowski (UT Dallas), Valentina Harizanov (GWU), Jozef H. Przytycki (GWU), Yongwu Rong (GWU), Radmila Sazdanovic (U.Penn), Alexander Shumakovitch (GWU), Hao Wu (GWU)

Conference Homepage


Equivariant Khovanov-Rozansky Homology and Lee-Gornik Spectral Sequence
by
Hao Wu
George Washington University

In this talk, I will:

1. explain why an equivariant sl(N) Khovanov-Rozansky homology over C[a] is equivalent to the corresponding Lee-Gornik spectral sequence,

2. give an alternative construction of the Lee-Gornik spectral sequence using a simple exact couple,

3. define a natural exterior algebra action on the sl(N) Khovanov-Rozansky homology,

4. make a few other observations about the Khovanov/Khovanov-Rozansky homology.

All the above are based on a simple observation by Lobb on the module structure of an sl(N) equivariant Khovanov-Rozansky homology over C[a].

Date received: April 29, 2013

Copyright © 2013 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 # cbhe-12.