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The ghost length and duality between chain and cochain type levels
http://hdl.handle.net/10091/00020090
http://hdl.handle.net/10091/000200907c8d84e5-2ce1-4ece-bec6-a530778d49b2
| 名前 / ファイル | ライセンス | アクション |
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25610002_ex01.pdf (220.7 kB)
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| Item type | 学術雑誌論文 / Journal Article(1) | |||||||
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| 公開日 | 2017-12-01 | |||||||
| タイトル | ||||||||
| タイトル | The ghost length and duality between chain and cochain type levels | |||||||
| 言語 | ||||||||
| 言語 | eng | |||||||
| DOI | ||||||||
| 関連識別子 | https://doi.org/10.4310/HHA.2016.v18.n2.a6 | |||||||
| 関連名称 | 10.4310/HHA.2016.v18.n2.a6 | |||||||
| キーワード | ||||||||
| 主題 | level, differential graded algebra, triangulated category, Koszul duality | |||||||
| 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
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| 信州大学研究者総覧へのリンク | ||||||||
| 氏名 | Kuribayashi, Katsuhiko | |||||||
| URL | http://soar-rd.shinshu-u.ac.jp/profile/ja.WCyFbUTU.html | |||||||
| 出版者 | ||||||||
| 出版者 | International Press of Boston | |||||||
| 引用 | ||||||||
| 内容記述 | Homology, Homotopy and Applications. 18(2):107-132 (2016) | |||||||
| 書誌情報 |
Homology, Homotopy and Applications 巻 18, 号 2, p. 107-132, 発行日 2016 |
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| 抄録 | ||||||||
| 内容記述 | We establish equalities between cochain and chain type levels of maps by making use of exact functors which connect appropriate derived and coderived categories. Relevant conditions for levels of maps to be finite are extracted from the equalities which we call duality on the levels. Moreover, we give a lower bound of the cochain type level of the diagonal map on the classifying space of a Lie group by considering the ghostness of a shriek map which appears in derived string topology. A variant of Koszul duality for a differential graded algebra is also discussed. | |||||||
| 資源タイプ（コンテンツの種類） | ||||||||
| ISSN | ||||||||
| 収録物識別子タイプ | ISSN | |||||||
| 収録物識別子 | 1532-0073 | |||||||
| 書誌レコードID | ||||||||
| 収録物識別子タイプ | NCID | |||||||
| 収録物識別子 | AA12136865 | |||||||
| 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 | ||||||||
| URL | http://gateway.isiknowledge.com/gateway/Gateway.cgi?&GWVersion=2&SrcAuth=ShinshuUniv&SrcApp=ShinshuUniv&DestLinkType=FullRecord&DestApp=WOS&KeyUT=000390975200006 | |||||||
