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On properties of
Bourgeois contact structures
Samuel Lisi, Aleksandra Marinković and Klaus Niederkrüger |
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Algebraic & Geometric Topology 19 (2019) 3409–3451
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Abstract |
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The Bourgeois construction associates to every contact open book on a manifold a contact structure on . We study some of the properties of that are inherited by 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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Keywords
symplectic topology, contact topology, symplectic fillings,
contact structures, Bourgeois construction, fillability,
overtwisted
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Mathematical Subject Classification 2010
Primary: 57R17
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References |
Publication
Received: 28 February 2018
Revised: 13 February 2019
Accepted: 30 March 2019
Published: 17 December 2019
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Authors |
| Samuel Lisi | |
| Department of Mathematics University of Mississippi University, MS United States |
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| Aleksandra Marinković | |
| Faculty of Mathematics University of Belgrade Belgrade Serbia |
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| Klaus Niederkrüger | |
| Institut Camille Jordan Université Claude Bernard Lyon 1 Villeurbanne France |
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