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

Mathematics

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

5 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

All Science Journal Classification (ASJC) codes

General Mathematics

Access to Document

10.1093/imrn/rnq182

Cite this

@article{4b99591f53d2470bb7cc7cb4bb4ec500,

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",

number = "23",

}

TY - JOUR

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.

UR - https://www.scopus.com/pages/publications/82955194815

UR - https://www.scopus.com/pages/publications/82955194815#tab=citedBy

U2 - 10.1093/imrn/rnq182

DO - 10.1093/imrn/rnq182

M3 - Article

AN - SCOPUS:82955194815

SN - 1073-7928

VL - 2011

SP - 5412

EP - 5448

JO - International Mathematics Research Notices

JF - International Mathematics Research Notices

IS - 23

ER -

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

Abstract

All Science Journal Classification (ASJC) codes

Access to Document

Other files and links

Fingerprint

Cite this