A cube of resolutions for knot Floer homology

Peter Ozsváth; Zoltán Szabó

doi:10.1112/jtopol/jtp032

A cube of resolutions for knot Floer homology

Peter Ozsváth, Zoltán Szabó

Mathematics

Research output: Contribution to journal › Article › peer-review

21 Scopus citations

Abstract

We develop a skein exact sequence for knot Floer homology, involving singular knots. This leads to an explicit, algebraic description of knot Floer homology in terms of a braid projection of the knot.

Original language	English (US)
Pages (from-to)	865-910
Number of pages	46
Journal	Journal of Topology
Volume	2
Issue number	4
DOIs	https://doi.org/10.1112/jtopol/jtp032
State	Published - 2009

All Science Journal Classification (ASJC) codes

Geometry and Topology

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10.1112/jtopol/jtp032

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abstract = "We develop a skein exact sequence for knot Floer homology, involving singular knots. This leads to an explicit, algebraic description of knot Floer homology in terms of a braid projection of the knot.",

author = "Peter Ozsv{\'a}th and Zolt{\'a}n Szab{\'o}",

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A cube of resolutions for knot Floer homology

Abstract

All Science Journal Classification (ASJC) codes

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