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  1. 040 理学部
  2. 0401 学術論文

1-loop graphs and configuration space integral for embedding spaces

http://hdl.handle.net/10091/16236
a74c8982-f43a-42de-a463-88cf2238428f
名前 / ファイル ライセンス アクション
1loop_graphs_configuration_space_integral.pdf 1loop_graphs_configuration_space_integral.pdf (2.4 MB)
Item type 学術雑誌論文 / Journal Article(1)
公開日 2013-02-04
タイトル
言語 en
タイトル 1-loop graphs and configuration space integral for embedding spaces
言語
言語 eng
資源タイプ
資源 http://purl.org/coar/resource_type/c_6501
タイプ journal article
著者 Sakai, Keiichi

× Sakai, Keiichi

WEKO 36164

Sakai, Keiichi

Search repository
Watanabe, Tadayuki

× Watanabe, Tadayuki

WEKO 36165

Watanabe, Tadayuki

Search repository
信州大学研究者総覧へのリンク
氏名 Sakai, Keiichi
URL http://soar-rd.shinshu-u.ac.jp/profile/ja.gCSVOakh.html
出版者
出版者 CAMBRIDGE UNIV PRESS
引用
内容記述タイプ Other
内容記述 MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY. 152:497-533 (2012)
書誌情報 MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY

巻 152, p. 497-533, 発行日 2012-05
抄録
内容記述タイプ Abstract
内容記述 We will construct differential forms on the embedding spaces Emb(R-j, R-n) for n-j >= 2 using configuration space integral associated with 1-loop graphs, and show that some linear combinations of these forms are closed in some dimensions. There are other dimensions in which we can show the closedness if we replace Emb(R-j, R-n) by (Emb) over bar (R-j, R-n), the homotopy fiber of the inclusion Emb(R-j, R-n) hooked right arrow Imm(R-j, R-n). We also show that the closed forms obtained give rise to nontrivial cohomology classes, evaluating them on some cycles of Emb(R-j, R-n) and (Emb) over bar (R-j, R-n). In particular we obtain nontrivial cohomology classes (for example, in H-3(Emb(R-2, R-5))) of higher degrees than those of the first nonvanishing homotopy groups.
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 0305-0041
書誌レコードID
収録物識別子タイプ NCID
収録物識別子 AA00723568
DOI
関連識別子
識別子タイプ DOI
関連識別子 https://doi.org/10.1017/S0305004111000429
関連名称
関連名称 10.1017/S0305004111000429
権利
権利情報 Copyright© 2012 Cambridge Philosophical Society
出版タイプ
出版タイプ VoR
出版タイプResource http://purl.org/coar/version/c_970fb48d4fbd8a85
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=000302426200006
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