The stable cohomology of block diffeomorphisms of connected sums of S^k × S^l

Robin Stoll (University of Cambridge)

Monday 24th February 16:00-17:00 Maths 311B

Abstract

I will explain a computation, in a range, of the stable rational cohomology of the moduli space of connected sums of S^k × S^l, extending work of Ebert–Reinhold. A particular emphasis will be placed on the methods involved; this includes work joint with Berglund on a certain type of algebraic model for the titular block diffeomorphisms (inspired by results of Berglund–Zeman), as well as graph complexes à la Kontsevich.

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