HOMOTOPY GROUPS OF CERTAIN HIGHLY CONNECTED MANIFOLDS VIA LOOP SPACE HOMOLOGY

Basu, Samik; Basu, Somnath

doi:https://doi.org/10.18910/72325

HOMOTOPY GROUPS OF CERTAIN HIGHLY CONNECTED MANIFOLDS VIA LOOP SPACE HOMOLOGY

Basu, Samik; Basu, Somnath

Osaka Journal of Mathematics, 2019, 56(2), 417-430

アクセス数:150件（2025-07-08 15:30 集計）

固定URL: https://doi.org/10.18910/72325

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タイトル	HOMOTOPY GROUPS OF CERTAIN HIGHLY CONNECTED MANIFOLDS VIA LOOP SPACE HOMOLOGY
著者	著者名 Basu, Samik
著者	著者名 Basu, Somnath
抄録	For n ≥ 2 we consider (n − 1)-connected closed manifolds of dimension at most (3n − 2). We prove that away from a finite set of primes, the p-local homotopy groups of M are determined by the dimension of the space of indecomposable elements in the cohomology ring H∗(M;Q).Moreover, we show that these p-local homotopy groups can be expressed as a direct sum of p-local homotopy groups of spheres. This generalizes some of the results of our earlier work [1].
出版者	Osaka University and Osaka City University, Departments of Mathematics
収録物名	Osaka Journal of Mathematics
巻(号)	56(2)
ページ	417-430
刊行年月	2019-04
言語	英語
ハンドルURL	https://hdl.handle.net/11094/72325
DOI	https://doi.org/10.18910/72325
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 56, Number 2 （2019-4）

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. 2019, 56(2), p. 417-430
DC.title	HOMOTOPY GROUPS OF CERTAIN HIGHLY CONNECTED MANIFOLDS VIA LOOP SPACE HOMOLOGY
DC.creator	Basu, Samik
DC.creator	Basu, Somnath
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	2019-04
DCTERMS.abstract	For n ≥ 2 we consider (n − 1)-connected closed manifolds of dimension at most (3n − 2). We prove that away from a finite set of primes, the p-local homotopy groups of M are determined by the dimension of the space of indecomposable elements in the cohomology ring H∗(M;Q).Moreover, we show that these p-local homotopy groups can be expressed as a direct sum of p-local homotopy groups of spheres. This generalizes some of the results of our earlier work [1].
DC.identifier	10.18910/72325
DC.format	72325
citation_title	HOMOTOPY GROUPS OF CERTAIN HIGHLY CONNECTED MANIFOLDS VIA LOOP SPACE HOMOLOGY
citation_author	Basu, Samik
citation_author	Basu, Somnath
citation_publisher	Osaka University and Osaka City University, Departments of Mathematics
citation_language	英語
citation_date	2019-04
citation_journal_title	Osaka Journal of Mathematics
citation_volume	56
citation_issue	2
citation_firstpage	417
citation_lastpage	430
citation_public_url	https://hdl.handle.net/11094/72325
citation_doi_detail	10.18910/72325
citation_doi	https://doi.org/10.18910/72325

HOMOTOPY GROUPS OF CERTAIN HIGHLY CONNECTED MANIFOLDS VIA LOOP SPACE HOMOLOGY

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