Mathematics Colloquia and Seminars
Symplectic fillings of virtually overtwisted torus bundlesGeometry/Topology
|Speaker:||Austin Christian, UCLA|
|Start time:||Tue, Oct 8 2019, 1:30PM|
A classical problem in contact geometry asks us to classify the symplectic manifolds which fill a given contact manifold. For virtually overtwisted torus bundles over S^1, we use Menke's JSJ-type decomposition to reduce this classification to the same problem for lens spaces. This leads to a complete classification in the elliptic and parabolic cases.