DC Field | Value | Language |
---|---|---|
dc.contributor.author | Choi, Suyoung | ko |
dc.contributor.author | Suh, Dong Youp | ko |
dc.date.accessioned | 2013-03-09T08:53:40Z | - |
dc.date.available | 2013-03-09T08:53:40Z | - |
dc.date.created | 2012-02-06 | - |
dc.date.created | 2012-02-06 | - |
dc.date.issued | 2011 | - |
dc.identifier.citation | ALGEBRAIC AND GEOMETRIC TOPOLOGY, v.11, no.2, pp.1053 - 1076 | - |
dc.identifier.issn | 1472-2739 | - |
dc.identifier.uri | http://hdl.handle.net/10203/95924 | - |
dc.description.abstract | The cohomological rigidity problem for toric manifolds asks whether the integral cohomology ring of a toric manifold determines the topological type of the manifold. In this paper, we consider the problem with the class of one-twist Bott manifolds to get an affirmative answer to the problem. We also generalize the result to quasitoric manifolds. In doing so, we show that the twist number of a Bott manifold is well-defined and is equal to the cohomological complexity of the cohomology ring of the manifold. We also show that any cohomology Bott manifold is homeomorphic to a Bott manifold. All these results are also generalized to the case with Z((2))-coefficients, where Z((2)) is the localized ring at 2. | - |
dc.language | English | - |
dc.publisher | GEOMETRY TOPOLOGY PUBLICATIONS | - |
dc.subject | CONVEX POLYTOPES | - |
dc.subject | CLASSIFICATION | - |
dc.subject | TOWERS | - |
dc.title | Properties of Bott manifolds and cohomological rigidity | - |
dc.type | Article | - |
dc.identifier.wosid | 000289847900016 | - |
dc.identifier.scopusid | 2-s2.0-79957657031 | - |
dc.type.rims | ART | - |
dc.citation.volume | 11 | - |
dc.citation.issue | 2 | - |
dc.citation.beginningpage | 1053 | - |
dc.citation.endingpage | 1076 | - |
dc.citation.publicationname | ALGEBRAIC AND GEOMETRIC TOPOLOGY | - |
dc.contributor.localauthor | Suh, Dong Youp | - |
dc.contributor.nonIdAuthor | Choi, Suyoung | - |
dc.type.journalArticle | Article | - |
dc.subject.keywordPlus | CONVEX POLYTOPES | - |
dc.subject.keywordPlus | CLASSIFICATION | - |
dc.subject.keywordPlus | TOWERS | - |
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