Homology stability for symmetric diffeomorphisms and their mapping classes
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.