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Homological stability for moduli spaces of high dimensional manifolds. II

Accepted version
Peer-reviewed

Type

Article

Change log

Authors

Galatius, S 
Randal-Williams, Oscar  ORCID logo  https://orcid.org/0000-0002-7479-2878

Abstract

We prove a homological stability theorem for moduli spaces of manifolds of dimension 2n, for attaching handles of index at least n, after these manifolds have been stabilised by countably many copies of Sn X Sn. Combined with previous work of the authors, we obtain an analogue of the Madsen-Weiss theorem for any simply-connected manifold of dimension 2n 6.

Description

Keywords

characteristics classes, diffeomorphism groups, homological stability, moduli spaces

Journal Title

Annals of Mathematics

Conference Name

Journal ISSN

0003-486X
1939-8980

Volume Title

186

Publisher

Princeton University Press
Sponsorship
Engineering and Physical Sciences Research Council (EP/M027783/1)