University of Cambridge > Talks.cam > Differential Geometry and Topology Seminar > Mapping class groups for simply connected 4-manifolds with boundary

Mapping class groups for simply connected 4-manifolds with boundary

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  • UserPatrick Orson, MPI Bonn
  • ClockWednesday 25 May 2022, 16:00-17:00
  • HouseMR13.

If you have a question about this talk, please contact Ailsa Keating.

The mapping class group of a compact, simply connected 4-manifold consists of self-diffeomorphisms (or self-homeomorphisms, in the topological category), up to isotopy, with the convention that the boundary is fixed pointwise. In both the smooth and topological categories, I will describe sufficient conditions for two automorphisms to be pseudoisotopic. Pseudoisotopy is weaker than isotopy, but in the topological category we are able to use this theorem to fully compute the mapping class group, extending a result of Quinn from the closed manifold case. The proof makes use of Kreck’s modified surgery theory. This is joint work with Mark Powell.

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

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