Fillability of positive contact surgeries and Lagrangian disks

Geometry Topology Seminar
Wednesday, May 23, 2018 - 14:00
1.5 hours (actually 80 minutes)
Skiles 006
University of Alabama

This will be a 90 minute seminar

It is well known that all contact 3-manifolds can be obtained from the standard contact structure on the 3-sphere by contact surgery on a Legendrian link. Hence, an interesting and much studied question asks what properties are preserved under various types of contact surgeries. The case for the negative contact surgeries is fairly well understood. In this talk, we will discuss some new results about positive contact surgeries and in particular completely characterize when contact r surgery is symplectically/Stein fillable when r is in (0,1]. This is joint work with James Conway and John Etnyre.