Fillability of Contact Structures on the 3-manifolds obtained by surgeries on the trefoil knot

Series
Geometry Topology Seminar
Time
Wednesday, November 16, 2022 - 5:00pm for 1 hour (actually 50 minutes)
Location
University of Georgia (Boyd 322)
Speaker
Nur Saglam – https://sites.google.com/umn.edu/nursaglam/home?authuser=0
Organizer
W. Bloomquist, A. Christian, C. Köse, M. Kuzbary, J. Simone, L. Tovstopyat-Nelip, H. Turner

Let M be the 3-manifold obtained by r-surgery on the right handed trefoil knot. Classification of contact structures on such manifolds have been mostly understood for r \geq 1 and r=0. Etnyre-Min-Tosun has an upcoming work on the classification of the tight contact structures for all r. The fillability of contact structures on M is mostly understood if r is not between 0 and 1/2. In this talk, we will discuss the fillability of the contact structures M for 0