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Caltech/USC/UCLA Joint Topology Seminar

Monday, April 15, 2019
5:00pm to 5:50pm
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Classifying contact structures on hyperbolic 3-manifolds
James Conway, Department of Mathematics, UC Berkeley,
UCLA MS 6221

Two of the most basic questions in contact topology are which manifolds admit tight contact structures, and on those that do, can we classify such structures. In dimension 3, these questions have been answered for large classes of manifolds, but with a notable absence of hyperbolic manifolds. In this talk, we will see a new classification of contact structures on an family of hyperbolic 3-manifolds arising from Dehn surgery on the figure-eight knot, and see how it suggests some structural results about tight contact structures. This is joint work with Hyunki Min.

For more information, please contact Math Dept. by phone at 626-395-4335 or by email at [email protected].