Homological stability of diffeomorphism groups.

Publikation: Bidrag til tidsskriftTidsskriftartikelfagfællebedømt

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.
OriginalsprogEngelsk
TidsskriftPure and Applied Mathematics Quarterly
Vol/bind9
Udgave nummer1
Sider (fra-til)1-48
ISSN1558-8599
DOI
StatusUdgivet - 2013

ID: 117368544