DC Field | Value | Language |
---|---|---|
dc.contributor.author | Choi, S | ko |
dc.contributor.author | Masuda, M | ko |
dc.contributor.author | Suh, Dong Youp | ko |
dc.date.accessioned | 2013-03-11T06:16:01Z | - |
dc.date.available | 2013-03-11T06:16:01Z | - |
dc.date.created | 2012-02-06 | - |
dc.date.created | 2012-02-06 | - |
dc.date.issued | 2010-03 | - |
dc.identifier.citation | OSAKA JOURNAL OF MATHEMATICS, v.47, pp.109 - 129 | - |
dc.identifier.issn | 0030-6126 | - |
dc.identifier.uri | http://hdl.handle.net/10203/98486 | - |
dc.description.abstract | A quasitoric manifold (resp. a small cover) is a 2n-dimensional (resp. an n-dimensional) smooth closed manifold with an effective locally standard action of (S(1))(n) (resp. (Z(2))(n)) whose orbit space is combinatorially an n-dimensional simple convex polytope P. In this paper we study them when P is a product of simplices. A generalized Bott tower over F, where F = C or R, is a sequence of projective bundles of the Whitney sum of F-line bundles starting with a point. Each stage of the tower over F, which we call a generalized Bott manifold, provides an example of quasitoric manifolds (when F = C) and small covers (when F = R) over a product of simplices. It turns out that every small cover over a product of simplices is equivalent (in the sense of Davis and Januszkiewicz [5]) to a generalized Bott manifold. But this is not the case for quasitoric manifolds and we show that a quasitoric manifold over a product of simplices is equivalent to a generalized Bott manifold if and only if it admits an almost complex structure left invariant under the action. Finally, we show that a quasitoric manifold M over a product of simplices is homeomorphic to a generalized Bolt manifold if M has the same cohomology ring as a product of complex projective spaces with Q coefficients. | - |
dc.language | English | - |
dc.publisher | OSAKA JOURNAL OF MATHEMATICS | - |
dc.subject | BOTT TOWERS | - |
dc.subject | CLASSIFICATION | - |
dc.subject | POLYTOPES | - |
dc.title | QUASITORIC MANIFOLDS OVER A PRODUCT OF SIMPLICES | - |
dc.type | Article | - |
dc.identifier.wosid | 000277823900007 | - |
dc.identifier.scopusid | 2-s2.0-79951499535 | - |
dc.type.rims | ART | - |
dc.citation.volume | 47 | - |
dc.citation.beginningpage | 109 | - |
dc.citation.endingpage | 129 | - |
dc.citation.publicationname | OSAKA JOURNAL OF MATHEMATICS | - |
dc.contributor.localauthor | Suh, Dong Youp | - |
dc.contributor.nonIdAuthor | Choi, S | - |
dc.contributor.nonIdAuthor | Masuda, M | - |
dc.description.isOpenAccess | Y | - |
dc.type.journalArticle | Article | - |
dc.subject.keywordPlus | BOTT TOWERS | - |
dc.subject.keywordPlus | CLASSIFICATION | - |
dc.subject.keywordPlus | POLYTOPES | - |
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