ORDER OF THE CANONICAL VECTOR BUNDLE OVER CONFIGURATION SPACES OF PROJECTIVE SPACES

Ren, Shiquan

doi:https://doi.org/10.18910/67003

ORDER OF THE CANONICAL VECTOR BUNDLE OVER CONFIGURATION SPACES OF PROJECTIVE SPACES

Ren, Shiquan

Osaka Journal of Mathematics, 2017, 54(4), 623-634

アクセス数:89件（2025-05-25 07:17 集計）

固定URL: https://doi.org/10.18910/67003

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タイトル	ORDER OF THE CANONICAL VECTOR BUNDLE OVER CONFIGURATION SPACES OF PROJECTIVE SPACES
著者	著者名 Ren, Shiquan
抄録	The order of a vector bundle is the smallest positive integer n such that the vector bundle’s n-fold self-Whitney sum is trivial. Since 1970’s, the order of the canonical vector bundle over configuration spaces of Euclidean spaces has been studied by F.R. Cohen, R.L. Cohen, N.J. Kuhn and J.L. Neisendorfer [4], F.R. Cohen, M.E. Mahowald and R.J. Milgram [6], and S.W. Yang [17, 18]. And the order of the canonical vector bundle over configuration spaces of closed orientable Riemann surfaces with genus greater than or equal to one has been studied by F.R. Cohen, R.L. Cohen, B. Mann and R.J. Milgram [5]. In this paper, we study the order of the canonical vector bundle over configuration spaces of projective spaces as well as of the Cartesian products of a projective space and a Euclidean space.
出版者	Osaka University and Osaka City University, Departments of Mathematics
収録物名	Osaka Journal of Mathematics
巻(号)	54(4)
ページ	623-634
刊行年月	2017-10
言語	英語
ハンドルURL	https://hdl.handle.net/11094/67003
DOI	https://doi.org/10.18910/67003
PISSN	00306126
NCID	AA00765910
アクセス権	open access
出版タイプ	Version of Record
カテゴリ	紀要論文 Departmental Bulletin Paper
カテゴリ	Osaka Journal of Mathematics / Volume 54, Number 4 （2017-10）

資源タイプ	紀要論文
ローカル資源タイプ	紀要論文
DCMI資源タイプ	text
DCTERMS.bibliographicCitation	Osaka Journal of Mathematics. 2017, 54(4), p. 623-634
DC.title	ORDER OF THE CANONICAL VECTOR BUNDLE OVER CONFIGURATION SPACES OF PROJECTIVE SPACES
DC.creator	Ren, Shiquan
DC.publisher	Osaka University and Osaka City University, Departments of Mathematics
DC.language' scheme='DCTERMS.RFC1766	英語
DC.type' scheme='DCTERMS.DCMIType	text
DCTERMS.issued' scheme='DCTERMS.W3CDTF	2017-10
DCTERMS.abstract	The order of a vector bundle is the smallest positive integer n such that the vector bundle’s n-fold self-Whitney sum is trivial. Since 1970’s, the order of the canonical vector bundle over configuration spaces of Euclidean spaces has been studied by F.R. Cohen, R.L. Cohen, N.J. Kuhn and J.L. Neisendorfer [4], F.R. Cohen, M.E. Mahowald and R.J. Milgram [6], and S.W. Yang [17, 18]. And the order of the canonical vector bundle over configuration spaces of closed orientable Riemann surfaces with genus greater than or equal to one has been studied by F.R. Cohen, R.L. Cohen, B. Mann and R.J. Milgram [5]. In this paper, we study the order of the canonical vector bundle over configuration spaces of projective spaces as well as of the Cartesian products of a projective space and a Euclidean space.
DC.identifier	10.18910/67003
DC.format	67003
citation_title	ORDER OF THE CANONICAL VECTOR BUNDLE OVER CONFIGURATION SPACES OF PROJECTIVE SPACES
citation_author	Ren, Shiquan
citation_publisher	Osaka University and Osaka City University, Departments of Mathematics
citation_language	英語
citation_date	2017-10
citation_journal_title	Osaka Journal of Mathematics
citation_volume	54
citation_issue	4
citation_firstpage	623
citation_lastpage	634
citation_public_url	https://hdl.handle.net/11094/67003
citation_doi_detail	10.18910/67003
citation_doi	https://doi.org/10.18910/67003

ORDER OF THE CANONICAL VECTOR BUNDLE OVER CONFIGURATION SPACES OF PROJECTIVE SPACES

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