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  1. 040 理学部
  2. 0401 学術論文

The Batalin-Vilkovisky Algebra in the String Topology of Classifying Spaces

http://hdl.handle.net/10091/00022721
http://hdl.handle.net/10091/00022721
10b6817a-4e7c-4ef2-8742-4e944efe11e3
名前 / ファイル ライセンス アクション
16K13753_01.pdf 16K13753_01.pdf (452.9 kB)
Item type 学術雑誌論文 / Journal Article(1)
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

WEKO 110769

Kuribayashi, Katsuhiko

Search repository
Menichi, Luc

× Menichi, Luc

WEKO 110770

Menichi, Luc

Search repository
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
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
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