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Knot Theory: Fifty Years Since Fox and Milnor
June 2-5, 2008
Brandeis University
Waltham (Massachusetts), USA

Organizers
Tim D. Cochran, Stavros Garoufalidis, Cameron Gordon, Daniel Ruberman, Kent Orr.

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The Khovanov and Floer homologies of quasi-alternating knots
by
Ciprian Manolescu
Columbia University / Clay Mathematics Institute
Coauthors: Peter Ozsvath

We show that the Khovanov and knot Floer homologies are thin for a large class of knots, called quasi-alternating.

This generalizes the corresponding results for alternating knots, due to Lee and Ozsvath-Szabo. The proof is based on applying unoriented skein exact sequences.

Paper reference: arXiv:0708.3249

Date received: April 24, 2008

Copyright © 2008 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # caxb-06.