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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/10091/17197803cbd21-1661-4c6c-9da1-93990b75cfc6
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 | 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 |
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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 |
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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 | |||||
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