Tightness and Legendrian surgery

Geometry Topology Seminar
Thursday, July 10, 2014 - 12:05
1 hour (actually 50 minutes)
Skiles 005
University of Nantes
A well known result of Giroux tells us that isotopy classes ofcontact structures on a closed three manifold are in one to onecorrespondence with stabilization classes of open book decompositions ofthe manifold. We will introduce a characterization of tightness of acontact structure in terms of corresponding open book decompositions, andshow how this can be used to resolve the question of whether tightness ispreserved under Legendrian surgery.