The diffeomorphism group of a 3-manifold fixing a disk

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• Corey Bregman (Tufts University)
• Wednesday 05 June 2024, 09:30-10:15
• External.

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TRH - Topology, representation theory and higher structures

I will discuss joint work with Rachael Boyd and Jan Steinebrunner in which we study the diffeomorphisms of a closed, irreducible, orientable 3-manifold which fix a disk pointwise. We show that the classifying space of this group has the homotopy type of finite complex. This result forms an important base case of our more general result that if M is an orientable 3-manifold with nonempty boundary, then the classifying space of the diffeomorphism group of M fixing the boundary pointwise is homotopy finite.

This talk is part of the Isaac Newton Institute Seminar Series series.

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