DC Field | Value | Language |
---|---|---|
dc.contributor.author | Choi, Suyoung | ko |
dc.contributor.author | Kuroki, Shintaro | ko |
dc.date.accessioned | 2013-03-11T18:44:04Z | - |
dc.date.available | 2013-03-11T18:44:04Z | - |
dc.date.created | 2012-05-15 | - |
dc.date.created | 2012-05-15 | - |
dc.date.issued | 2011 | - |
dc.identifier.citation | ALGEBRAIC AND GEOMETRIC TOPOLOGY, v.11, no.5, pp.2655 - 2679 | - |
dc.identifier.issn | 1472-2739 | - |
dc.identifier.uri | http://hdl.handle.net/10203/99955 | - |
dc.description.abstract | A toric manifold is a compact non-singular toric variety. A torus manifold is an oriented, closed, smooth manifold of dimension 2n with an effective action of a compact torus T-n having a non-empty fixed point set. Hence, a torus manifold can be thought of as a generalization of a toric manifold. In the present paper, we focus on a certain class m in the family of torus manifolds with codimension one extended actions, and we give a topological classification of m. As a result, their topological types are completely determined by their cohomology rings and real characteristic classes. The problem whether the cohomology ring determines the topological type of a toric manifold or not is one of the most interesting open problems in toric topology. One can also ask this problem for the class of torus manifolds. Our results provide a negative answer to this problem for torus manifolds. However, we find a sub-class of torus manifolds with codimension one extended actions which is not in the class of toric manifolds but which is classified by their cohomology rings. | - |
dc.language | English | - |
dc.publisher | GEOMETRY & TOPOLOGY PUBLICATIONS | - |
dc.subject | TORIC MANIFOLDS | - |
dc.subject | MULTI-FANS | - |
dc.title | Topological classification of torus manifolds which have codimension one extended actions | - |
dc.type | Article | - |
dc.identifier.wosid | 000299576600006 | - |
dc.identifier.scopusid | 2-s2.0-84863016811 | - |
dc.type.rims | ART | - |
dc.citation.volume | 11 | - |
dc.citation.issue | 5 | - |
dc.citation.beginningpage | 2655 | - |
dc.citation.endingpage | 2679 | - |
dc.citation.publicationname | ALGEBRAIC AND GEOMETRIC TOPOLOGY | - |
dc.contributor.nonIdAuthor | Choi, Suyoung | - |
dc.type.journalArticle | Article | - |
dc.subject.keywordPlus | TORIC MANIFOLDS | - |
dc.subject.keywordPlus | MULTI-FANS | - |
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