Homological stability of some big mapping class groups Danny Calegari, University of Chicago Host: Jonathan Johnson This is a virtual talk. Contact Neil Hoffman for the zoom link.
Abstract: Many surfaces of infinite type satisfy a kind of topological stability: the operation of boundary summing with certain surfaces of infinite type does not change their homeomorphism type. This phenomenon is often reflected in homological stability for mapping class groups, and gives techniques to help compute their homology. We illustrate this method with an example where it gives a complete answer: the homology of the mapping class group of the disk (resp. plane) minus a Cantor set is trivial (resp. is isomorphic to the homology of $\mathbb{CP}^\infty$). This is joint work with Lvzhou Chen and Nathalie Wahl.
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