Columbia University

Wed 9 Jan 2019, 2:45pm
Topology and related seminars
ESB 4133 (PIMS Lounge)

Exotic Structures on S^1 × S^3 and the ChernSimons Functional

ESB 4133 (PIMS Lounge)
Wed 9 Jan 2019, 2:45pm10:00am
Abstract
It is an open problem whether there exists an exotic smooth structure on S^1 × S^3. Motivated by this problem, Akbulut asked if there is a simply connected homology cobordism from a homology sphere with nontrivial Rochlin invariant to itself. The main progress toward this question was made by Taubes who used his celebrated technique of gauge theory on manifolds with periodic ends to give a negative answer to this question for various homology spheres including the Poincare homology sphere. In this talk, I will present a different technique which can be used to generalize Taubes' result in various directions. In particular, we address Akbulut's question for a family of Brieskorn homology spheres, which is not covered by Taubes' theorem.
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University of Chicago

Wed 13 Feb 2019, 2:45pm
Topology and related seminars
ESB 4133 (PIMS Lounge)

tba

ESB 4133 (PIMS Lounge)
Wed 13 Feb 2019, 2:45pm3:45pm
Abstract
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Wed 6 Mar 2019, 3:15pm
Topology and related seminars


Wed 6 Mar 2019, 3:15pm4:15pm
Abstract
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Wed 13 Mar 2019, 2:45pm
Topology and related seminars
ESB 4133 (PIMS Lounge)


ESB 4133 (PIMS Lounge)
Wed 13 Mar 2019, 2:45pm3:45pm
Abstract
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