Heegaard diagrams and Floer homology

Peter Ozsvath; Zoltan Szabo

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arXiv · math/0602232

Heegaard diagrams and Floer homology

Peter Ozsvath·Zoltan Szabo

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Abstract

We review the construction of Heegaard Floer homology for closed three-manifolds and also for knots and links in the three-sphere. We also discuss three applications of this invariant to knot theory: studying the Thurston norm of a link complement, the slice genus of a knot, and the unknotting number of a knot. We emphasize the application to the Thurston norm, and illustrate the theory in the case of the Conway link.

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BibTeX RIS

Peter Ozsvath, Zoltan Szabo. 2006-02-10. Heegaard diagrams and Floer homology. https://arxiv.org/abs/math/0602232

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