Smoothing finite group actions on three-manifolds

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• John Pardon, Princeton
• Wednesday 06 March 2019, 16:00-17:00
• MR13.

If you have a question about this talk, please contact Ivan Smith.

There exist continuous finite group actions on three-manifolds which are not smoothable, in the sense that they are not smooth with respect to any smooth structure. For example, Bing constructed an involution of the three-sphere whose fixed set is a wildly embedded two-sphere. However, one can still ask whether every continuous finite group action on a three-manifold can be uniformly approximated by a smooth action. We discuss an affirmative solution to this question, based on the author’s work on the Hilbert—Smith conjecture in dimension three.

This talk is part of the Differential Geometry and Topology Seminar series.

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