On the Floer homology of plumbed three-manifolds

Peter Ozsváth; Zoltán Szabó

doi:10.2140/gt.2003.7.185

On the Floer homology of plumbed three-manifolds

Peter Ozsváth, Zoltán Szabó

Mathematics

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

149 Scopus citations

Abstract

We calculate the Heegaard Floer homologies for three-manifolds obtained by plumbings of spheres specified by certain graphs. Our class of graphs is sufficiently large to describe, for example, all Seifert fibered rational homology spheres. These calculations can be used to determine also these groups for other three-manifolds, including the product of a circle with a genus two surface.

Original language	English (US)
Pages (from-to)	185-224
Number of pages	40
Journal	Geometry and Topology
Volume	7
DOIs	https://doi.org/10.2140/gt.2003.7.185
State	Published - 2003

All Science Journal Classification (ASJC) codes

Geometry and Topology

Keywords

Floer homology
Plumbing manifolds
Seifert fibered spaces

Access to Document

10.2140/gt.2003.7.185

Cite this

@article{e6a19cd4b72d493a94c9c14713939df3,

title = "On the Floer homology of plumbed three-manifolds",

abstract = "We calculate the Heegaard Floer homologies for three-manifolds obtained by plumbings of spheres specified by certain graphs. Our class of graphs is sufficiently large to describe, for example, all Seifert fibered rational homology spheres. These calculations can be used to determine also these groups for other three-manifolds, including the product of a circle with a genus two surface.",

keywords = "Floer homology, Plumbing manifolds, Seifert fibered spaces",

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

year = "2003",

doi = "10.2140/gt.2003.7.185",

language = "English (US)",

volume = "7",

pages = "185--224",

journal = "Geometry and Topology",

issn = "1465-3060",

publisher = "Mathematical Sciences Publishers",

}

TY - JOUR

T1 - On the Floer homology of plumbed three-manifolds

AU - Ozsváth, Peter

AU - Szabó, Zoltán

PY - 2003

Y1 - 2003

N2 - We calculate the Heegaard Floer homologies for three-manifolds obtained by plumbings of spheres specified by certain graphs. Our class of graphs is sufficiently large to describe, for example, all Seifert fibered rational homology spheres. These calculations can be used to determine also these groups for other three-manifolds, including the product of a circle with a genus two surface.

AB - We calculate the Heegaard Floer homologies for three-manifolds obtained by plumbings of spheres specified by certain graphs. Our class of graphs is sufficiently large to describe, for example, all Seifert fibered rational homology spheres. These calculations can be used to determine also these groups for other three-manifolds, including the product of a circle with a genus two surface.

KW - Floer homology

KW - Plumbing manifolds

KW - Seifert fibered spaces

UR - http://www.scopus.com/inward/record.url?scp=1642630532&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=1642630532&partnerID=8YFLogxK

U2 - 10.2140/gt.2003.7.185

DO - 10.2140/gt.2003.7.185

M3 - Article

AN - SCOPUS:1642630532

SN - 1465-3060

VL - 7

SP - 185

EP - 224

JO - Geometry and Topology

JF - Geometry and Topology

ER -

On the Floer homology of plumbed three-manifolds

Abstract

All Science Journal Classification (ASJC) codes

Keywords

Access to Document

Other files and links

Fingerprint

Cite this