The Liouville connect sum and its applications

Series: 
Geometry Topology Seminar
Monday, February 4, 2013 - 14:00
1 hour (actually 50 minutes)
Location: 
Skiles 006
,  
USC
Organizer: 
We introduce a new surgery operation for contact manifolds called the Liouville connect sum.  This operation -- which includes Weinstein handle attachment as a special case -- is designed to study the relationship between contact topology and symplectomorphism groups established by work of Giroux and Thurston-Winkelnkemper.  The Liouville connect sum is used to generalize results of Baker-Etnyre-Van Horn-Morris and Baldwin on the existence of "monodromy multiplication cobordisms" as well as results of Seidel regarding squares of symplectic Dehn twists.