Spinal Open Books and Symplectic Fillings

Geometry Topology Seminar
Monday, February 21, 2011 - 14:00
1 hour (actually 50 minutes)
Skiles 006
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.