Document Type

Article

Date

7-27-2009

Embargo Period

11-18-2011

Disciplines

Mathematics

Description/Abstract

Ozsvath and Szabo have established an algebraic relationship, in the form of a spectral sequence, between the reduced Khovanov homology of (the mirror of) a link L in S3 and the Heegaard Floer homology of its double-branched cover. This relationship has since been recast by the authors as a specific instance of a broader connection between Khovanov- and Heegaard Floer-type homology theories, using a version of Heegaard Floer homology for sutured manifolds developed by Juhasz. In the present work we prove the naturality of the spectral sequence under certain elementary TQFT operations, using a generalization of Juhasz's surface decomposition theorem valid for decomposing surfaces geometrically disjoint from an imbedded framed link.

Additional Information

This manuscript is from arXiv.org, for more information see http://arxiv.org/abs/0907.4378

Source

Harvested from arXiv.org

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This work is licensed under a Creative Commons Attribution 3.0 License.

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