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On properties of Bourgeois contact structures

Samuel Lisi, Aleksandra Marinković and Klaus Niederkrüger

Algebraic & Geometric Topology 19 (2019) 3409–3451
Abstract

The Bourgeois construction associates to every contact open book on a manifold V a contact structure on V × T2. We study some of the properties of V that are inherited by V × T2 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.

Keywords
symplectic topology, contact topology, symplectic fillings, contact structures, Bourgeois construction, fillability, overtwisted
Mathematical Subject Classification 2010
Primary: 57R17
References
Publication
Received: 28 February 2018
Revised: 13 February 2019
Accepted: 30 March 2019
Published: 17 December 2019
Authors
Samuel Lisi
Department of Mathematics
University of Mississippi
University, MS
United States
Aleksandra Marinković
Faculty of Mathematics
University of Belgrade
Belgrade
Serbia
Klaus Niederkrüger
Institut Camille Jordan
Université Claude Bernard Lyon 1
Villeurbanne
France