Homological stability for spaces of embedded surfaces

dc.creator	Morán, FC
dc.creator	Randal-Williams, Oscar
dc.date.accessioned	2015-05-30
dc.date.accessioned	2018-11-24T23:27:21Z
dc.date.available	2017-08-09T08:28:10Z
dc.date.available	2018-11-24T23:27:21Z
dc.date.issued	2017-05-10
dc.identifier	https://www.repository.cam.ac.uk/handle/1810/266065
dc.identifier.uri	http://repository.aust.edu.ng/xmlui/handle/123456789/3968
dc.description.abstract	© 2017, Mathematical Sciences Publishers. All rights reserved.We study the space of oriented genus-g subsurfaces of a fixed manifold M and, in particular, its homological properties. We construct a “scanning map” which compares this space to the space of sections of a certain fibre bundle over M associated to its tangent bundle, and show that this map induces an isomorphism on homology in a range of degrees. Our results are analogous to McDuff’s theorem on configuration spaces, extended from 0–dimensional submanifolds to 2–dimensional submanifolds.
dc.publisher	Mathematical Sciences Publisher
dc.publisher	Geometry and Topology
dc.title	Homological stability for spaces of embedded surfaces
dc.type	Article

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