Topology Atlas | Conferences

Knots in Washington XXXV
December 7-9, 2012
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)

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A New Spectral Sequence in Khovanov Homology
by
Cotton Seed
Princeton University
Coauthors: Joshua Batson

Khovanov homology is an invariant of links L in S^3 which categorifies the Jones polynomial. In this talk, I will describe a new spectral sequence in Khovanov homology, the link splitting spectral sequence. The spectral sequence starts at the Khovanov homology of L and converges to the Khovanov homology of the disjoint union of the components of L. As an application, building on results of Kronheimer-Mrowka and Hedden-Ni, I will prove that Khovanov homology detects the unlink.

Date received: October 26, 2012

Copyright © 2012 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 # cbfw-12.