Contact structures on M×S2

Jonathan Bowden, Diarmuid Crowley, Andras I. Stipsicz

Research output: Contribution to journalArticle

5 Citations (Scopus)
4 Downloads (Pure)

Abstract

We show that if a manifold M admits a contact structure, then so does M×S 2. Our proof relies on surgery theory, a theorem of Eliashberg on contact surgery and a theorem of Bourgeois showing that if M admits a contact structure then so does M×T 2.
Original languageEnglish
Pages (from-to)351-359
Number of pages9
JournalMathematische Annalen
Volume358
Issue number1-2
Early online date28 Aug 2013
DOIs
Publication statusPublished - Feb 2014

Fingerprint

Contact Structure
Surgery
Theorem
Contact

Cite this

Bowden, J., Crowley, D., & Stipsicz, A. I. (2014). Contact structures on M×S2. Mathematische Annalen, 358(1-2), 351-359. https://doi.org/10.1007/s00208-013-0963-9

Contact structures on M×S2. / Bowden, Jonathan; Crowley, Diarmuid; Stipsicz, Andras I. .

In: Mathematische Annalen, Vol. 358, No. 1-2, 02.2014, p. 351-359.

Research output: Contribution to journalArticle

Bowden, J, Crowley, D & Stipsicz, AI 2014, 'Contact structures on M×S2', Mathematische Annalen, vol. 358, no. 1-2, pp. 351-359. https://doi.org/10.1007/s00208-013-0963-9
Bowden J, Crowley D, Stipsicz AI. Contact structures on M×S2. Mathematische Annalen. 2014 Feb;358(1-2):351-359. https://doi.org/10.1007/s00208-013-0963-9
Bowden, Jonathan ; Crowley, Diarmuid ; Stipsicz, Andras I. . / Contact structures on M×S2. In: Mathematische Annalen. 2014 ; Vol. 358, No. 1-2. pp. 351-359.
@article{1c4c69a8c0df4aa89552b32ebabb0144,
title = "Contact structures on M×S2",
abstract = "We show that if a manifold M admits a contact structure, then so does M×S 2. Our proof relies on surgery theory, a theorem of Eliashberg on contact surgery and a theorem of Bourgeois showing that if M admits a contact structure then so does M×T 2.",
author = "Jonathan Bowden and Diarmuid Crowley and Stipsicz, {Andras I.}",
note = "The authors would like to thank the Max Planck Institute for Mathematics in Bonn for its hospitality while parts of this work has been carried out, and Hansj{\"o}rg Geiges for useful comments on an earlier draft of the paper. AS was partially supported by OTKA NK81203, by the Lend{\"u}let program of the Hungarian Academy of Sciences and by ERC LDTBud. The present work is part of the authors’ activities within CAST, a Research Network Program of the European Science Foundation.",
year = "2014",
month = "2",
doi = "10.1007/s00208-013-0963-9",
language = "English",
volume = "358",
pages = "351--359",
journal = "Mathematische Annalen",
issn = "0025-5831",
publisher = "Springer New York",
number = "1-2",

}

TY - JOUR

T1 - Contact structures on M×S2

AU - Bowden, Jonathan

AU - Crowley, Diarmuid

AU - Stipsicz, Andras I.

N1 - The authors would like to thank the Max Planck Institute for Mathematics in Bonn for its hospitality while parts of this work has been carried out, and Hansjörg Geiges for useful comments on an earlier draft of the paper. AS was partially supported by OTKA NK81203, by the Lendület program of the Hungarian Academy of Sciences and by ERC LDTBud. The present work is part of the authors’ activities within CAST, a Research Network Program of the European Science Foundation.

PY - 2014/2

Y1 - 2014/2

N2 - We show that if a manifold M admits a contact structure, then so does M×S 2. Our proof relies on surgery theory, a theorem of Eliashberg on contact surgery and a theorem of Bourgeois showing that if M admits a contact structure then so does M×T 2.

AB - We show that if a manifold M admits a contact structure, then so does M×S 2. Our proof relies on surgery theory, a theorem of Eliashberg on contact surgery and a theorem of Bourgeois showing that if M admits a contact structure then so does M×T 2.

U2 - 10.1007/s00208-013-0963-9

DO - 10.1007/s00208-013-0963-9

M3 - Article

VL - 358

SP - 351

EP - 359

JO - Mathematische Annalen

JF - Mathematische Annalen

SN - 0025-5831

IS - 1-2

ER -