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  1. 040 理学部
  2. 0401 学術論文

An integral expression of the first nontrivial one-cocycle of the space of long knots in R(3)

http://hdl.handle.net/10091/17197
http://hdl.handle.net/10091/17197
803cbd21-1661-4c6c-9da1-93990b75cfc6
名前 / ファイル ライセンス アクション
pjm-v250-n2-p08-p.pdf pjm-v250-n2-p08-p.pdf (296.5 kB)
Item type 学術雑誌論文 / Journal Article(1)
公開日 2013-10-21
タイトル
言語 en
タイトル An integral expression of the first nontrivial one-cocycle of the space of long knots in R(3)
言語
言語 eng
キーワード
主題Scheme Other
主題 the space of long knots
キーワード
主題Scheme Other
主題 configuration space integrals
キーワード
主題Scheme Other
主題 nontrivalent graphs
キーワード
主題Scheme Other
主題 an action of little cubes
キーワード
主題Scheme Other
主題 Gramain cycles
キーワード
主題Scheme Other
主題 Casson's knot invariant
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 36019

Sakai, Keiichi

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 PACIFIC JOURNAL MATHEMATICS
引用
内容記述タイプ Other
内容記述 PACIFIC JOURNAL OF MATHEMATICS. 250(2):407-419 (2011)
書誌情報 PACIFIC JOURNAL OF MATHEMATICS

巻 250, 号 2, p. 407-419, 発行日 2011-04
抄録
内容記述タイプ Abstract
内容記述 Our main object of study is a certain degree-one cohomology class of the space K(3) of long knots in R(3). We describe this class in terms of graphs and configuration space integrals, showing the vanishing of some anomalous obstructions. To show that this class is not zero, we integrate it over a cycle studied by Gramain. As a corollary, we establish a relation between this class and (R-valued) Casson's knot invariant. These are R-versions of the results which were previously proved by Teiblyum, Turchin and Vassiliev over Z/2 in a different way from ours.
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 0030-8730
書誌レコードID
収録物識別子タイプ NCID
収録物識別子 AA00767097
DOI
識別子タイプ DOI
関連識別子 https://doi.org/10.2140/pjm.2011.250.407
関連名称 10.2140/pjm.2011.250.407
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=000288996800008
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