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On extensions of a symplectic class
http://hdl.handle.net/10091/16110
http://hdl.handle.net/10091/161107527ad67-d02e-4d48-940e-365ad313d76e
名前 / ファイル | ライセンス | アクション |
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Item type | 学術雑誌論文 / Journal Article(1) | |||||||
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公開日 | 2012-11-29 | |||||||
タイトル | ||||||||
タイトル | On extensions of a symplectic class | |||||||
言語 | ||||||||
言語 | eng | |||||||
DOI | ||||||||
関連識別子 | https://doi.org/10.1016/j.difgeo.2011.08.008 | |||||||
関連名称 | 10.1016/j.difgeo.2011.08.008 | |||||||
キーワード | ||||||||
主題 | Symplectic manifold, Sullivan model | |||||||
資源タイプ | ||||||||
資源 | http://purl.org/coar/resource_type/c_6501 | |||||||
タイプ | journal article | |||||||
著者 |
Kuribayashi, Katsuhiko
× Kuribayashi, Katsuhiko
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信州大学研究者総覧へのリンク | ||||||||
氏名 | Kuribayashi, Katsuhiko | |||||||
URL | http://soar-rd.shinshu-u.ac.jp/profile/ja.WCyFbUTU.html | |||||||
出版者 | ||||||||
出版者 | ELSEVIER SCIENCE BV | |||||||
引用 | ||||||||
内容記述 | DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS. 29(6):801-815 (2011) | |||||||
書誌情報 |
DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS 巻 29, 号 6, p. 801-815, 発行日 2011-12 |
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抄録 | ||||||||
内容記述 | Let F be a fibration on a simply-connected base with symplectic fiber (M, omega). Assume that the fiber is nilpotent and T(2k)-separable for some integer k or a nilmanifold. Then our main theorem, Theorem 1.8, gives a necessary and sufficient condition for the cohomology class vertical bar omega vertical bar to extend to a cohomology class of the total space of T. This allows us to describe Thurston's criterion for a symplectic fibration to admit a compatible symplectic form in terms of the classifying map for the underlying fibration. The obstruction due to Lalond and McDuff for a symplectic bundle to be Hamiltonian is also rephrased in the same vein. Furthermore, with the aid of the main theorem, we discuss a global nature of the set of the homotopy equivalence classes of fibrations with symplectic fiber in which the class vertical bar omega vertical bar is extendable. | |||||||
資源タイプ(コンテンツの種類) | ||||||||
内容記述 | Article | |||||||
ISSN | ||||||||
収録物識別子タイプ | ISSN | |||||||
収録物識別子 | 0926-2245 | |||||||
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収録物識別子タイプ | NCID | |||||||
収録物識別子 | AA10813099 | |||||||
出版タイプ | ||||||||
出版タイプ | AM | |||||||
出版タイプResource | http://purl.org/coar/version/c_ab4af688f83e57aa | |||||||
WoS | ||||||||
URL | http://gateway.isiknowledge.com/gateway/Gateway.cgi?&GWVersion=2&SrcAuth=ShinshuUniv&SrcApp=ShinshuUniv&DestLinkType=FullRecord&DestApp=WOS&KeyUT=000296932000009 |