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Homological stability for moduli spaces of high dimensional manifolds. II

dc.creatorGalatius, S
dc.creatorRandal-Williams, Oscar
dc.date.accessioned2017-01-12
dc.date.accessioned2018-11-24T23:27:05Z
dc.date.available2017-03-29T13:27:23Z
dc.date.available2018-11-24T23:27:05Z
dc.identifierhttps://www.repository.cam.ac.uk/handle/1810/263320
dc.identifier.urihttp://repository.aust.edu.ng/xmlui/handle/123456789/3944
dc.description.abstractWe prove a homological stability theorem for moduli spaces of manifolds of dimension 2$\textit{n}$, for attaching handles of index at least $\textit{n}$, after these manifolds have been stabilised by countably many copies of S$^\textit{n}$ X S$^\textit{n}$. Combined with previous work of the authors, we obtain an analogue of the Madsen-Weiss theorem for any simply-connected manifold of dimension 2$\textit{n}$ $\geq$ 6.
dc.languageen
dc.publisherPrinceton University Press
dc.publisherAnnals of Mathematics
dc.publisherhttp://annals.math.princeton.edu/articles/10481
dc.subjectcharacteristics classes
dc.subjectdiffeomorphism groups
dc.subjecthomological stability
dc.subjectmoduli spaces
dc.titleHomological stability for moduli spaces of high dimensional manifolds. II
dc.typeArticle


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