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dc.contributor.authorErdal, M. A.en_US
dc.date.accessioned2019-02-21T16:02:04Z
dc.date.available2019-02-21T16:02:04Z
dc.date.issued2017-11-22en_US
dc.identifier.issn0166-8641
dc.identifier.urihttp://hdl.handle.net/11693/49959
dc.description.abstractIn this paper we study M(X), the set of diffeomorphism classes of smooth manifolds with the simple homotopy type of X, via a map Ψ from M(X) into the quotient of K(X)=[X,BSO] by the action of the group of homotopy classes of simple self equivalences of X. The map Ψ describes which bundles over X can occur as normal bundles of manifolds in M(X). We determine the image of Ψ when X belongs to a certain class of homology spheres. In particular, we find conditions on elements of K(X) that guarantee they are pullbacks of normal bundles of manifolds in M(X).
dc.language.isoEnglish
dc.source.titleTopology and its Applicationsen_US
dc.relation.isversionofhttps://doi.org/10.1016/j.topol.2017.11.006
dc.subjectCobordismen_US
dc.subjectHomology sphereen_US
dc.subjectK-theoryen_US
dc.subjectPoincaré dualityen_US
dc.subjectSpectral sequenceen_US
dc.titleOn smooth manifolds with the homotopy type of a homology sphereen_US
dc.typeArticleen_US
dc.departmentDepartment of Mathematicsen_US
dc.citation.spage82en_US
dc.citation.epage91en_US
dc.citation.volumeNumber234en_US
dc.identifier.doi10.1016/j.topol.2017.11.006
dc.publisherElsevier
dc.embargo.release2020-02-01en_US


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