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The Batalin-Vilkovisky Algebra in the String Topology of Classifying Spaces
http://hdl.handle.net/10091/00022721
http://hdl.handle.net/10091/0002272110b6817a-4e7c-4ef2-8742-4e944efe11e3
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 | 2021-02-22 | |||||
タイトル | ||||||
言語 | en | |||||
タイトル | The Batalin-Vilkovisky Algebra in the String Topology of Classifying Spaces | |||||
言語 | ||||||
言語 | eng | |||||
キーワード | ||||||
主題Scheme | Other | |||||
主題 | string topology | |||||
キーワード | ||||||
主題Scheme | Other | |||||
主題 | Batalin-Vilkovisky algebra | |||||
キーワード | ||||||
主題Scheme | Other | |||||
主題 | classifying space | |||||
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× Menichi, Luc |
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信州大学研究者総覧へのリンク | ||||||
氏名 | Kuribayashi, Katsuhiko | |||||
URL | https://soar-rd.shinshu-u.ac.jp/profile/ja.WCyFbUTU.html | |||||
出版者 | ||||||
出版者 | CAMBRIDGE UNIV PRESS | |||||
引用 | ||||||
内容記述タイプ | Other | |||||
内容記述 | CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES.71(4):843-889(2019) | |||||
書誌情報 |
CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES 巻 71, 号 4, p. 843-889, 発行日 2019-01-09 |
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抄録 | ||||||
内容記述タイプ | Abstract | |||||
内容記述 | For almost any compact connected Lie group C and any field F-p, we compute the Batalin-Vilkovisky algebra H*(+dim G) (LBG; F-p) on the loop cohomology of the classifying space introduced by Chataur and the second author. In particular, if p is odd or p = 0, this Batalin-Vilkovisky algebra is isomorphic to the Hochschild cohomology HH* (H-*(G), H-* (G)). Over F-2, such an isomorphism of Batalin-Vilkovisky algebras does not hold when G = SO(3) or G = G(2). Our elaborate considerations on the signs in string topology of the classifying spaces give rise to a general theorem on graded homological conformal field theory. | |||||
資源タイプ(コンテンツの種類) | ||||||
内容記述タイプ | Other | |||||
内容記述 | Article | |||||
ISSN | ||||||
収録物識別子タイプ | ISSN | |||||
収録物識別子 | 0008-414X | |||||
書誌レコードID | ||||||
収録物識別子タイプ | NCID | |||||
収録物識別子 | AA00597678 | |||||
DOI | ||||||
識別子タイプ | DOI | |||||
関連識別子 | https://doi.org/10.4153/CJM-2018-021-9 | |||||
関連名称 | 10.4153/CJM-2018-021-9 | |||||
権利 | ||||||
権利情報 | This article has been published in a revised form in CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES, https://doi.org/10.4153/CJM-2018-021-9. This version is free to view and download for private research and study only. Not for re-distribution or re-use. © Canadian Mathematical Society 2018. | |||||
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 | ||||||
表示名 | Web of Science | |||||
URL | http://gateway.isiknowledge.com/gateway/Gateway.cgi?&GWVersion=2&SrcAuth=ShinshuUniv&SrcApp=ShinshuUniv&DestLinkType=FullRecord&DestApp=WOS&KeyUT=000476491200004 |