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The Nielsen realization for non-spin 4-manifolds

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Mihail Arabadji
UMass Amherst/MPIM
Don, 01/06/2023 - 10:30 - 11:30
MPIM Lecture Hall

Contact: Aru Ray (aruray @

We are going to show that there are many families of non-spin 4–manifolds for which the smooth Nielsen realization problem fails; that is, there are (finite) subgroups of their mapping class groups that cannot be realized by a group of diffeomorphisms. This extends and complements the recent results for spin 4–manifolds. This is joint work with Inanc Baykur.




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