prop_bourgeois Some properties of the Bourgeois contact structures Sam Lisi Aleksandra Marinković Klaus Niederkrüger https://doi.org/10.2140/agt.2019.19.3409 Algebr. Geom. Topol. 19 (2019) 3409-3451. 2019 agt.jpg

The Bourgeois construction associates to every contact open book on a manifold V a contact structure on V×T2. We study in this article some of the properties of V that are inherited by V×T2 and some that are not.

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