Fillability of positive contact surgeries and Lagrangian disks

Series
Geometry Topology Seminar
Time
Wednesday, May 23, 2018 - 2:00pm for 1.5 hours (actually 80 minutes)
Location
Skiles 006
Speaker
Bulent Tosun – University of Alabama
Organizer
John Etnyre

Please Note: 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.