Bourgeois contact structures : tightness, fillability and application

Vendredi 15 novembre 15:30-16:30 - Fabio Gironella - Budapest

Résumé : Starting from a contact structure on an odd-dimensional manifold together with a supporting open book, Bourgeois ’02 gave an explicit recipe to build a contact structure on the product of the manifold with the 2-torus. The first objective of the talk is to present some new results concerning the properties of such construction. Namely, in dimension 5 these contact structures are always tight and, when the original open book has page of genus 0, they are strongly fillable if and only if the monodromy is trivial. Two higher dimensional cases, where one can smoothly classify or obstruct strong symplectically aspherical fillings, will also be briefly presented. In the second part of the talk, I will describe the main ideas behind the proof of the fillability result in dimension 5.
This is joint work with Jonathan Bowden and Agustin Moreno.

Lieu : Bâtiment 307, salle 3L8

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