The genus two goeritz group of S2 × S1

Sangbum Cho; Yuya Koda

doi:10.4310/MRL.2014.v21.n3.a3

The genus two goeritz group of S² × S¹

Sangbum Cho, Yuya Koda

SCI - Mathematics

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

6 Citations (Scopus)

Abstract

The genus-g Goeritz group is the group of isotopy classes of orientationpreserving homeomorphisms of a closed orientable 3-manifold that preserve a given genus-g Heegaard splitting of the manifold. In this work, we show that the genus-2 Goeritz group of S² × S¹ is finitely presented, and give its explicit presentation.

Original language	English
Pages (from-to)	449-460
Number of pages	12
Journal	Mathematical Research Letters
Volume	21
Issue number	3
DOIs	https://doi.org/10.4310/MRL.2014.v21.n3.a3
Publication status	Published - 2014 Jan 1

ASJC Scopus subject areas

Mathematics(all)

Access to Document

10.4310/MRL.2014.v21.n3.a3

Fingerprint Dive into the research topics of 'The genus two goeritz group of S<sup>2</sup> × S<sup>1</sup>'. Together they form a unique fingerprint.

Cite this

@article{1d632244e60d4236abdbf94520d80dc7,

title = "The genus two goeritz group of S2 × S1",

abstract = "The genus-g Goeritz group is the group of isotopy classes of orientationpreserving homeomorphisms of a closed orientable 3-manifold that preserve a given genus-g Heegaard splitting of the manifold. In this work, we show that the genus-2 Goeritz group of S2 × S1 is finitely presented, and give its explicit presentation.",

author = "Sangbum Cho and Yuya Koda",

year = "2014",

month = jan,

day = "1",

doi = "10.4310/MRL.2014.v21.n3.a3",

language = "English",

volume = "21",

pages = "449--460",

journal = "Mathematical Research Letters",

issn = "1073-2780",

publisher = "International Press of Boston, Inc.",

number = "3",

}

TY - JOUR

T1 - The genus two goeritz group of S2 × S1

AU - Cho, Sangbum

AU - Koda, Yuya

PY - 2014/1/1

Y1 - 2014/1/1

N2 - The genus-g Goeritz group is the group of isotopy classes of orientationpreserving homeomorphisms of a closed orientable 3-manifold that preserve a given genus-g Heegaard splitting of the manifold. In this work, we show that the genus-2 Goeritz group of S2 × S1 is finitely presented, and give its explicit presentation.

AB - The genus-g Goeritz group is the group of isotopy classes of orientationpreserving homeomorphisms of a closed orientable 3-manifold that preserve a given genus-g Heegaard splitting of the manifold. In this work, we show that the genus-2 Goeritz group of S2 × S1 is finitely presented, and give its explicit presentation.

UR - http://www.scopus.com/inward/record.url?scp=84908396804&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84908396804&partnerID=8YFLogxK

U2 - 10.4310/MRL.2014.v21.n3.a3

DO - 10.4310/MRL.2014.v21.n3.a3

M3 - Article

AN - SCOPUS:84908396804

VL - 21

SP - 449

EP - 460

JO - Mathematical Research Letters

JF - Mathematical Research Letters

SN - 1073-2780

IS - 3