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dc.contributor.authorMorán, FCen
dc.contributor.authorRandal-Williams, Oscaren
dc.date.accessioned2017-08-09T08:28:10Z
dc.date.available2017-08-09T08:28:10Z
dc.date.issued2017-05-10en
dc.identifier.issn1465-3060en
dc.identifier.urihttps://www.repository.cam.ac.uk/handle/1810/266065
dc.description.abstractWe 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.publisherMathematical Sciences Publisher
dc.titleHomological stability for spaces of embedded surfacesen
dc.typeArticle
prism.endingPage1467
prism.issueIdentifier3en
prism.publicationDate2017en
prism.publicationNameGeometry and Topologyen
prism.startingPage1387
prism.volume21en
dc.identifier.doi10.17863/CAM.10775
dcterms.dateAccepted2015-05-30en
rioxxterms.versionofrecord10.2140/gt.2017.21.1387en
rioxxterms.licenseref.urihttp://www.rioxx.net/licenses/all-rights-reserveden
rioxxterms.licenseref.startdate2017-05-10en
dc.contributor.orcidRandal-Williams, Oscar [0000-0002-7479-2878]
dc.identifier.eissn1364-0380en
rioxxterms.typeJournal Article/Reviewen
rioxxterms.freetoread.startdate2018-08-24


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