Tightness and Legendrian surgery

Andy Wand (University of Nantes)

Monday 9th March, 2015 16:00-17:00 Maths 204

Abstract

A well known result of Giroux tells us that isotopy classes of contact structures on a closed three manifold are in one to one correspondence with stabilization classes of open book decompositions of the manifold. We will introduce a characterization of tightness of a contact structure in terms of corresponding open book decompositions, and show how this can be used to resolve the question of whether tightness is preserved under Legendrian surgery.

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