DC Field | Value | Language |
---|---|---|
dc.contributor.author | Cho, Yunhyung | ko |
dc.contributor.author | Hwang, Taegyu | ko |
dc.contributor.author | Suh, Dong-Youp | ko |
dc.date.accessioned | 2016-07-06T04:27:43Z | - |
dc.date.available | 2016-07-06T04:27:43Z | - |
dc.date.created | 2016-02-25 | - |
dc.date.created | 2016-02-25 | - |
dc.date.issued | 2015-12 | - |
dc.identifier.citation | JOURNAL OF SYMPLECTIC GEOMETRY, v.13, no.4, pp.963 - 1000 | - |
dc.identifier.issn | 1527-5256 | - |
dc.identifier.uri | http://hdl.handle.net/10203/209574 | - |
dc.description.abstract | Let (M, w) be a 6-dimensional closed symplectic manifold with a symplectic S-1-action with M-S1 not equal empty set and dim M-S1 <= 2. Assume that w is integral with a generalized moment map mu. We first prove that the action is Hamiltonian if and only if b(2)(+)(M-red) = 1, where M-red is any reduced space with respect to mu. It means that if the action is non-Hamiltonian, then b(2)(+)(M-red) >= 2. Secondly, we focus on the case when the action is semifree and Hamiltonian. We prove that if M-S1 consists of surfaces, then the number k of fixed surfaces with positive genera is at most four. In particular, if the extremal fixed surfaces are spheres, then k is at most one. Finally, we prove that k not equal 2 and we construct some examples of 6-dimensional semifree Hamiltonian S-1-manifolds such that M-S1 contains k surfaces of positive genera for k = 0 and 4. Examples with k = 1 and 3 were given in [L2]. | - |
dc.language | English | - |
dc.publisher | INT PRESS BOSTON | - |
dc.title | Semifree Hamiltonian circle actions on 6-dimensional symplectic manifolds with non-isolated fixed point set | - |
dc.type | Article | - |
dc.identifier.wosid | 000374509900005 | - |
dc.identifier.scopusid | 2-s2.0-84962608668 | - |
dc.type.rims | ART | - |
dc.citation.volume | 13 | - |
dc.citation.issue | 4 | - |
dc.citation.beginningpage | 963 | - |
dc.citation.endingpage | 1000 | - |
dc.citation.publicationname | JOURNAL OF SYMPLECTIC GEOMETRY | - |
dc.contributor.localauthor | Suh, Dong-Youp | - |
dc.contributor.nonIdAuthor | Cho, Yunhyung | - |
dc.type.journalArticle | Article | - |
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