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On the homology of configuration spaces associated to center of mass
http://hdl.handle.net/10091/00019124
68368791-a42f-4e18-b72a-3ea9d7a83d4b
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 | 2016-08-29 | |||||
タイトル | ||||||
言語 | en | |||||
タイトル | On the homology of configuration spaces associated to center of mass | |||||
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 |
Tamaki, Dai
× Tamaki, Dai |
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信州大学研究者総覧へのリンク | ||||||
氏名 | Tamaki, Dai | |||||
URL | http://soar-rd.shinshu-u.ac.jp/profile/ja.OafeOUkh.html | |||||
出版者 | ||||||
出版者 | Mathematical Society of Japan | |||||
引用 | ||||||
内容記述タイプ | Other | |||||
内容記述 | Advanced Studies in Pure Mathematics. 62:417-457 (2011) | |||||
書誌情報 |
Advanced Studies in Pure Mathematics 巻 62, p. 417-457, 発行日 2011-10 |
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内容記述 | ||||||
内容記述タイプ | Other | |||||
内容記述 | Arrangements of Hyperplanes — Sapporo 2009 | |||||
抄録 | ||||||
内容記述タイプ | Abstract | |||||
内容記述 | The aim of this paper is to make sample computations with the Salvetti complex of the “center of mass” arrangement introduced in [CK07] by Cohen and Kamiyama. We compute the homology of the Salvetti complex of these arrangements with coefficients in the sign representation of the symmetric group on Fp in the case of four particles. We show, when p is an odd prime, the homology is isomorphic to the homology of the configuration space F(C; 4) of distinct four points in C with the same coefficients. When p = 2, we show the homology is different from the equivariant homology of F(C; 4), hence we obtain an alternative and more direct proof of a theorem of Cohen and Kamiyama in [CK07]. | |||||
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 | PISSN | |||||
収録物識別子 | 0920-1971 | |||||
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識別子タイプ | NCID | |||||
関連識別子 | BA00184596 | |||||
DOI | ||||||
関連タイプ | isIdenticalTo | |||||
関連識別子 | ||||||
識別子タイプ | DOI | |||||
関連識別子 | https://doi.org/10.2969/aspm/06210417 | |||||
出版タイプ | ||||||
出版タイプ | VoR | |||||
出版タイプResource | http://purl.org/coar/version/c_970fb48d4fbd8a85 |