A combinatorial description of the U2=0 version of Heegaard Floer homology

Peter S. Ozsváth; András I. Stipsicz; Zoltán Szabó

doi:10.1093/imrn/rnq182

A combinatorial description of the U²=0 version of Heegaard Floer homology

Peter S. Ozsváth, András I. Stipsicz, Zoltán Szabó

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

4 Scopus citations

Abstract

We show that every 3-manifold admits a Heegaard diagram in which a truncated version of Heegaard Floer homology (when the holomorphic disks pass through the base points at most once) can be computed combinatorially.

Original language	English (US)
Pages (from-to)	5412-5448
Number of pages	37
Journal	International Mathematics Research Notices
Volume	2011
Issue number	23
DOIs	https://doi.org/10.1093/imrn/rnq182
State	Published - 2011
Externally published	Yes

All Science Journal Classification (ASJC) codes

Mathematics(all)

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10.1093/imrn/rnq182

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title = "A combinatorial description of the U2=0 version of Heegaard Floer homology",

abstract = "We show that every 3-manifold admits a Heegaard diagram in which a truncated version of Heegaard Floer homology (when the holomorphic disks pass through the base points at most once) can be computed combinatorially.",

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

note = "Funding Information: This work was supported by NSF (grant numbers DMS-0505811 and FRG-0244663 to P.S.O.); Clay Mathematics Institute, by OTKA T67928, and by Marie Curie TOK project BudAlgGeo (to A.S.); NSF (grant numbers DMS-0704053 and FRG-0244663 to Z.S.).",

year = "2011",

doi = "10.1093/imrn/rnq182",

language = "English (US)",

volume = "2011",

pages = "5412--5448",

journal = "International Mathematics Research Notices",

issn = "1073-7928",

publisher = "Oxford University Press",

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T1 - A combinatorial description of the U2=0 version of Heegaard Floer homology

AU - Ozsváth, Peter S.

AU - Stipsicz, András I.

AU - Szabó, Zoltán

N1 - Funding Information: This work was supported by NSF (grant numbers DMS-0505811 and FRG-0244663 to P.S.O.); Clay Mathematics Institute, by OTKA T67928, and by Marie Curie TOK project BudAlgGeo (to A.S.); NSF (grant numbers DMS-0704053 and FRG-0244663 to Z.S.).

PY - 2011

Y1 - 2011

N2 - We show that every 3-manifold admits a Heegaard diagram in which a truncated version of Heegaard Floer homology (when the holomorphic disks pass through the base points at most once) can be computed combinatorially.

AB - We show that every 3-manifold admits a Heegaard diagram in which a truncated version of Heegaard Floer homology (when the holomorphic disks pass through the base points at most once) can be computed combinatorially.

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DO - 10.1093/imrn/rnq182

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JF - International Mathematics Research Notices

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ER -

A combinatorial description of the U²=0 version of Heegaard Floer homology

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