Homological stability of diffeomorphism groups.

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In this paper we prove a stability theorem for block diffeomorphisms of 2d -dimensional manifolds that are connected sums of S d ×S d . Combining this with a recent theorem of S. Galatius and O. Randal-Williams and Morlet’s lemma of disjunction, we determine the homology of the classifying space of their diffeomorphism groups relative to an embedded disk in a stable range.
TidsskriftPure and Applied Mathematics Quarterly
Udgave nummer1
Sider (fra-til)1-48
StatusUdgivet - 2013

ID: 117368544