Geodesic
On properties of Bourgeois contact structures
Lisi, Samuel1 ; Marinković, Aleksandra2 ; Niederkrüger, Klaus3
1 Department of Mathematics, University of Mississippi, University, MS, United States
2 Faculty of Mathematics, University of Belgrade, Belgrade, Serbia
3 Institut Camille Jordan, Université Claude Bernard Lyon 1, Villeurbanne, France
Algebraic and Geometric Topology, Tome 19 (2019) no. 7, pp. 3409-3451

Voir la notice de l'article provenant de la source Mathematical Sciences Publishers

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.

DOI : 10.2140/agt.2019.19.3409
Classification : 57R17
Keywords: symplectic topology, contact topology, symplectic fillings, contact structures, Bourgeois construction, fillability, overtwisted

Lisi, Samuel 1 ; Marinković, Aleksandra 2 ; Niederkrüger, Klaus 3

1 Department of Mathematics, University of Mississippi, University, MS, United States
2 Faculty of Mathematics, University of Belgrade, Belgrade, Serbia
3 Institut Camille Jordan, Université Claude Bernard Lyon 1, Villeurbanne, France 
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Lisi, Samuel; Marinković, Aleksandra; Niederkrüger, Klaus. On properties of Bourgeois contact structures. Algebraic and Geometric Topology, Tome 19 (2019) no. 7, pp. 3409-3451. doi: 10.2140/agt.2019.19.3409

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