Dehn twists exact sequences through Lagrangian cobordism

Geometry Topology Seminar
Monday, August 29, 2016 - 14:00
1 hour (actually 50 minutes)
Skiles 006
University of Georgia

In this talk we first introduce a new "singularity-free" approach to the proof of Seidel's long exact sequence, including the fixed-point version. This conveniently generalizes to Dehn twists along Lagrangian submanifolds which are rank one symmetric spaces and their covers, including RPn and CPn, matching a mirror prediction due to Huybrechts and Thomas. The idea of the proof can be interpreted as a "mirror" of the construction in algebraic geometry, realized by a new surgery and cobordism construction.  This is a joint work with Cheuk-Yu Mak.