On smooth manifolds with the homotopy type of a homology sphere
| buir.contributor.author | Erdal, Mehmet Akif | |
| dc.citation.epage | 91 | en_US |
| dc.citation.spage | 82 | en_US |
| dc.citation.volumeNumber | 234 | en_US |
| dc.contributor.author | Erdal, Mehmet Akif | en_US |
| dc.date.accessioned | 2019-02-21T16:02:04Z | |
| dc.date.available | 2019-02-21T16:02:04Z | |
| dc.date.issued | 2018 | en_US |
| dc.department | Department of Mathematics | en_US |
| dc.description.abstract | In 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.embargo.release | 2020-02-01 | en_US |
| dc.identifier.doi | 10.1016/j.topol.2017.11.006 | |
| dc.identifier.issn | 0166-8641 | |
| dc.identifier.uri | http://hdl.handle.net/11693/49959 | |
| dc.language.iso | English | |
| dc.publisher | Elsevier | |
| dc.relation.isversionof | https://doi.org/10.1016/j.topol.2017.11.006 | |
| dc.source.title | Topology and its Applications | en_US |
| dc.subject | Cobordism | en_US |
| dc.subject | Homology sphere | en_US |
| dc.subject | K-theory | en_US |
| dc.subject | Poincaré duality | en_US |
| dc.subject | Spectral sequence | en_US |
| dc.title | On smooth manifolds with the homotopy type of a homology sphere | en_US |
| dc.type | Article | en_US |
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