Legendrian knots, transverse knots and combinatorial Floer homology

Peter Ozsváth; Zoltán Szabó; Dylan P. Thurston

doi:10.2140/gt.2008.12.941

Legendrian knots, transverse knots and combinatorial Floer homology

Peter Ozsváth, Zoltán Szabó, Dylan P. Thurston

Mathematics

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

73 Scopus citations

Abstract

Using the combinatorial approach to knot Floer homology, we define an invariant for Legendrian knots (or links) in the three-sphere, with values in knot Floer homology. This invariant can also be used to construct an invariant of transverse knots.

Original language	English (US)
Pages (from-to)	941-980
Number of pages	40
Journal	Geometry and Topology
Volume	12
Issue number	2
DOIs	https://doi.org/10.2140/gt.2008.12.941
State	Published - 2008

All Science Journal Classification (ASJC) codes

Geometry and Topology

Keywords

Floer homology
Legendrian knots

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10.2140/gt.2008.12.941

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title = "Legendrian knots, transverse knots and combinatorial Floer homology",

abstract = "Using the combinatorial approach to knot Floer homology, we define an invariant for Legendrian knots (or links) in the three-sphere, with values in knot Floer homology. This invariant can also be used to construct an invariant of transverse knots.",

keywords = "Floer homology, Legendrian knots",

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

year = "2008",

doi = "10.2140/gt.2008.12.941",

language = "English (US)",

volume = "12",

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publisher = "Mathematical Sciences Publishers",

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T1 - Legendrian knots, transverse knots and combinatorial Floer homology

AU - Ozsváth, Peter

AU - Szabó, Zoltán

AU - Thurston, Dylan P.

PY - 2008

Y1 - 2008

N2 - Using the combinatorial approach to knot Floer homology, we define an invariant for Legendrian knots (or links) in the three-sphere, with values in knot Floer homology. This invariant can also be used to construct an invariant of transverse knots.

AB - Using the combinatorial approach to knot Floer homology, we define an invariant for Legendrian knots (or links) in the three-sphere, with values in knot Floer homology. This invariant can also be used to construct an invariant of transverse knots.

KW - Floer homology

KW - Legendrian knots

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U2 - 10.2140/gt.2008.12.941

DO - 10.2140/gt.2008.12.941

M3 - Article

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SN - 1364-0380

VL - 12

SP - 941

EP - 980

JO - Geometry and Topology

JF - Geometry and Topology

IS - 2

ER -

Legendrian knots, transverse knots and combinatorial Floer homology

Abstract

All Science Journal Classification (ASJC) codes

Keywords

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