Spinal Open Books and Symplectic Fillings

Series
Geometry Topology Seminar
Time
Monday, February 21, 2011 - 2:00pm for 1 hour (actually 50 minutes)
Location
Skiles 006
Speaker
Jeremy Van Horn-Morris – AIM
Organizer
John Etnyre
A theorem of Chris Wendl allows you to completely characterize symplectic fillings of certain open book decompositions by factorizations of their monodromy into Dehn twists. Olga Plamenevskaya and I use this to generalize results of Eliashberg, McDuff and Lisca to classify the fillings of certain Lens spaces. I'll discuss this and a newer version of Wendl's theorem, joint with Wendl and Sam Lisi, this time for spinal open books, and discuss a few more applications.