Combinatorial Heegaard Floer homology and sign assignments

Peter Ozsváth; András I. Stipsicz; Zoltán Szabó

doi:10.1016/j.topol.2013.10.025

Combinatorial Heegaard Floer homology and sign assignments

Peter Ozsváth
, András I. Stipsicz
, Zoltán Szabó

Mathematics

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

2 Scopus citations

Abstract

We provide an integral lift of the combinatorial definition of Heegaard Floer homology for nice diagrams, and show that the proof of independence using convenient diagrams adapts to this setting.

Original language	English (US)
Pages (from-to)	32-65
Number of pages	34
Journal	Topology and its Applications
Volume	166
DOIs	https://doi.org/10.1016/j.topol.2013.10.025
State	Published - Apr 1 2014

All Science Journal Classification (ASJC) codes

Geometry and Topology

Keywords

Heegaard Floer homology
Orientation systems

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10.1016/j.topol.2013.10.025

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title = "Combinatorial Heegaard Floer homology and sign assignments",

abstract = "We provide an integral lift of the combinatorial definition of Heegaard Floer homology for nice diagrams, and show that the proof of independence using convenient diagrams adapts to this setting.",

keywords = "Heegaard Floer homology, Orientation systems",

author = "Peter Ozsv{\'a}th and Stipsicz, \{Andr{\'a}s I.\} and Zolt{\'a}n Szab{\'o}",

note = "Funding Information: P.O. was supported by NSF grant DMS-1258274 . A.S. was supported by OTKA NK81203 and by Lend{\"u}let project of the Hungarian Academy of Sciences . He also wants to thank the Institute for Advanced Study for their hospitality. Z.Sz. was supported by NSF grants DMS-1006006 and DMS-1309152 . We would like to thank the Mathematical Sciences Research Institute, Berkeley for providing a productive research environment.",

year = "2014",

month = apr,

day = "1",

doi = "10.1016/j.topol.2013.10.025",

language = "English (US)",

volume = "166",

pages = "32--65",

journal = "Topology and its Applications",

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T1 - Combinatorial Heegaard Floer homology and sign assignments

AU - Ozsváth, Peter

AU - Stipsicz, András I.

AU - Szabó, Zoltán

N1 - Funding Information: P.O. was supported by NSF grant DMS-1258274 . A.S. was supported by OTKA NK81203 and by Lendület project of the Hungarian Academy of Sciences . He also wants to thank the Institute for Advanced Study for their hospitality. Z.Sz. was supported by NSF grants DMS-1006006 and DMS-1309152 . We would like to thank the Mathematical Sciences Research Institute, Berkeley for providing a productive research environment.

PY - 2014/4/1

Y1 - 2014/4/1

N2 - We provide an integral lift of the combinatorial definition of Heegaard Floer homology for nice diagrams, and show that the proof of independence using convenient diagrams adapts to this setting.

AB - We provide an integral lift of the combinatorial definition of Heegaard Floer homology for nice diagrams, and show that the proof of independence using convenient diagrams adapts to this setting.

KW - Heegaard Floer homology

KW - Orientation systems

UR - https://www.scopus.com/pages/publications/84894526158

UR - https://www.scopus.com/pages/publications/84894526158#tab=citedBy

U2 - 10.1016/j.topol.2013.10.025

DO - 10.1016/j.topol.2013.10.025

M3 - Article

AN - SCOPUS:84894526158

SN - 0166-8641

VL - 166

SP - 32

EP - 65

JO - Topology and its Applications

JF - Topology and its Applications

ER -

Combinatorial Heegaard Floer homology and sign assignments

Abstract

All Science Journal Classification (ASJC) codes

Keywords

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