A combinatorial description of knot Floer homology

Ciprian Manolescu; Peter Ozsvath; Sucharit Sarkar

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A combinatorial description of knot Floer homology

Ciprian Manolescu·Peter Ozsvath·Sucharit Sarkar

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Abstract

Given a grid presentation of a knot (or link) K in the three-sphere, we describe a Heegaard diagram for the knot complement in which the Heegaard surface is a torus and all elementary domains are squares. Using this diagram, we obtain a purely combinatorial description of the knot Floer homology of K.

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BibTeX RIS

Ciprian Manolescu, Peter Ozsvath, Sucharit Sarkar. 2007-08-23. A combinatorial description of knot Floer homology. https://arxiv.org/abs/math/0607691

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