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Symplectic fillings of virtually overtwisted torus bundles
Geometry/TopologySpeaker: | Austin Christian, UCLA |
Related Webpage: | https://www.math.ucla.edu/~archristian/index.html |
Location: | 3106 MSB |
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.