Topology Atlas | Conferences

Knots in Washington XXXIII; Categorification of Knots, Algebras, and Quandles; Quantum Computing
December 2-4, 2011
George Washington University
Washington, DC, USA

Organizers
Valentina Harizanov (GWU),Mark Kidwell (U.S. Naval Academy and GWU), Jozef H. Przytycki (GWU), Yongwu Rong (GWU), Radmila Sazdanovic (U.Penn), Alexander Shumakovitch (GWU), Hao Wu (GWU)

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Computations of Szabo's geometric spectral sequence in Khovanov homology
by
Cotton Seed
Princeton University

Szabo has introduced a new geometric spectral sequence in Khovanov homology.

I will present results of computations of this spectral sequence and a number of conjectures concerning its structure. I will present some partial results towards these conjectures, in particular, I will show that the two ways of defining the reduced theory agree.

Finally, I will discuss the techniques used to compute the spectral sequence and, if time permits, sketch some ongoing work to relate this spectral sequence to the spectral sequence from Khovanov homology to the Heegaard Floer homology of the double-branched cover defined by Ozsvath-Szabo.

Date received: November 7, 2011

Copyright © 2011 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 # cbdt-16.