Contact structures on M×S2

Jonathan Bowden; Diarmuid Crowley; Andras I.  Stipsicz

doi:10.1007/s00208-013-0963-9

Contact structures on M×S²

Jonathan Bowden, Diarmuid Crowley, Andras I. Stipsicz

Mathematical Science

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

6 Citations (Scopus)

7 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 language	English
Pages (from-to)	351-359
Number of pages	9
Journal	Mathematische Annalen
Volume	358
Issue number	1-2
Early online date	28 Aug 2013
DOIs	https://doi.org/10.1007/s00208-013-0963-9
Publication status	Published - Feb 2014

Bibliographical 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 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.

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Contact structures on M×S 2
The final publication is available at Springer via http://dx.doi.org/10.1007/s00208-013-0963-9
Accepted author manuscript, 303 KBLicence: Unspecified

Cite this

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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{\textquoteright} activities within CAST, a Research Network Program of the European Science Foundation.",

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