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Homology stability for symmetric diffeomorphisms and their mapping classes

Tillmann, U (University of Oxford)
Tuesday 02 April 2013, 09:30-10:30

Seminar Room 1, Newton Institute


A central object of study in geometry and topology are diffeomorphism groups of compact manifolds. Nevertheless, these remain generally poorly understood objects. For surfaces homology stability has played a crucial role in advancing our understanding (Madsen-Weiss). We will present some homology stability results for 'symmetric' diffeomorphisms for manifolds of arbitrary dimension and put them into context.

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