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

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 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

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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
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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

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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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DO - 10.1007/s00208-013-0963-9

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