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Twisted homology and cohomology groups associeted to the Wirtinger integral
https://kitami-it.repo.nii.ac.jp/records/8187
https://kitami-it.repo.nii.ac.jp/records/8187b241dd66-043c-447b-8612-c3ba89c1c53b
| 名前 / ファイル | ライセンス | アクション |
|---|---|---|
2007_Twisted homology and cohomology groups associeted to the Wirtinger integral.pdf (176.9 kB)
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| Item type | 学術雑誌論文 / Journal Article(1) | |||||||
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| 公開日 | 2016-06-23 | |||||||
| タイトル | ||||||||
| タイトル | Twisted homology and cohomology groups associeted to the Wirtinger integral | |||||||
| 言語 | en | |||||||
| 言語 | ||||||||
| 言語 | eng | |||||||
| キーワード | ||||||||
| 主題Scheme | Other | |||||||
| 主題 | Wirtinger integral | |||||||
| キーワード | ||||||||
| 主題Scheme | Other | |||||||
| 主題 | theta function | |||||||
| キーワード | ||||||||
| 主題Scheme | Other | |||||||
| 主題 | twisted (co)homology group | |||||||
| キーワード | ||||||||
| 主題Scheme | Other | |||||||
| 主題 | de Rham cohomology | |||||||
| 資源タイプ | ||||||||
| 資源 | http://purl.org/coar/resource_type/c_6501 | |||||||
| タイプ | journal article | |||||||
| アクセス権 | ||||||||
| アクセス権 | open access | |||||||
| アクセス権URI | http://purl.org/coar/access_right/c_abf2 | |||||||
| 著者 |
Watanabe, Humihiko
× Watanabe, Humihiko
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| 著者別名 | ||||||||
| 識別子Scheme | WEKO | |||||||
| 識別子 | 42924 | |||||||
| 姓名 | 渡辺, 文彦 | |||||||
| 言語 | ja | |||||||
| 抄録 | ||||||||
| 内容記述タイプ | Abstract | |||||||
| 内容記述 | The first half of this paper (Section 1) deals with the structure of the twisted homology group associated to the Wirtinger integral. A basis of the first homology group is given, and the vanishing of the homology groups of the other dimensions is proved. The second half (Section 2) deals with the structure of the twisted cohomology groups associated to the Wirtinger integral. The isomorphism between the twisted cohomology groups and the cohomology groups associated to a certain subcomplex of the de Rham complex is established, and a basis of the first cohomology group of this subcomplex (therefore, of the first twisted cohomology group) is given. The vanishing of the cohomology groups of the other dimensions is also proved. | |||||||
| 書誌情報 |
Journal of the Mathematical Society of Japan 巻 59, 号 4, p. 1067-1080, 発行日 2007 |
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| 権利 | ||||||||
| 権利情報 | c2007 Mathematical Society of Japan | |||||||
| 出版者 | ||||||||
| 出版者 | Mathematical Society of Japan | |||||||
| 関連サイト | ||||||||
| URL | https://projecteuclid.org/euclid.jmsj/1197320628 | |||||||
| 著者版フラグ | ||||||||
| 言語 | en | |||||||
| 値 | publisher | |||||||
| 出版タイプ | ||||||||
| 出版タイプ | VoR | |||||||
| 出版タイプResource | http://purl.org/coar/version/c_970fb48d4fbd8a85 | |||||||
