Tightness and open book decompositions

Series: 
Geometry Topology Seminar
Wednesday, April 10, 2013 - 14:00
1 hour (actually 50 minutes)
Location: 
Skiles 006
,  
Harvard
Organizer: 

Note different time and day.

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 stabilization-invariant property of open books which corresponds to tightness of the corresponding contact structure. We will mention applications to the classification of contact 3-folds, and also to the question of whether tightness is preserved under  Legendrian surgery.