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2019 On properties of Bourgeois contact structures
Samuel Lisi, Aleksandra Marinković, Klaus Niederkrüger
Algebr. Geom. Topol. 19(7): 3409-3451 (2019). DOI: 10.2140/agt.2019.19.3409

Abstract

The Bourgeois construction associates to every contact open book on a manifold  V a contact structure on V × T 2 . We study some of the properties of V that are inherited by V × T 2 and some that are not.

Giroux has provided recently a better framework to work with contact open books. In the appendix, we quickly review this formalism, and we work out a few classical examples of contact open books to illustrate how to use this new language.

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Samuel Lisi. Aleksandra Marinković. Klaus Niederkrüger. "On properties of Bourgeois contact structures." Algebr. Geom. Topol. 19 (7) 3409 - 3451, 2019. https://doi.org/10.2140/agt.2019.19.3409

Information

Received: 28 February 2018; Revised: 13 February 2019; Accepted: 30 March 2019; Published: 2019
First available in Project Euclid: 3 January 2020

zbMATH: 07162211
MathSciNet: MR4045357
Digital Object Identifier: 10.2140/agt.2019.19.3409

Subjects:
Primary: 57R17

Keywords: Bourgeois construction , contact structures , contact topology , fillability , overtwisted , symplectic fillings , symplectic topology

Rights: Copyright © 2019 Mathematical Sciences Publishers

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Vol.19 • No. 7 • 2019
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