FORMALITY AND HARD LEFSCHETZ PROPERTY OF ASPHERICAL MANIFOLDS

Kasuya, Hisashi

Osaka Journal of Mathematics, 2013, 50(2), 439-455

アクセス数:244件（2025-04-06 21:00 集計）

固定URL: https://doi.org/10.18910/25095

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タイトル	FORMALITY AND HARD LEFSCHETZ PROPERTY OF ASPHERICAL MANIFOLDS
著者	NRID 1000080712611 1000080712611 researchmap permalink Hkasuya Hkasuya Scopus Author ID 55143344900 55143344900 著者名 Kasuya, Hisashi
抄録	For a Lie group G = R^n ⋉_φ R^m with the semi-simple action φ: R^n → Aut(R^m), we show that if Γ is a finite extension of a lattice of G then K(Γ, 1) is formal. Moreover we show that a compact symplectic aspherical manifold with the fundamental group Γ satisfies the hard Lefschetz property. By those results we give many examples of formal solvmanifolds satisfying the hard Lefschetz property but not admitting Kähler structures.
出版者	Osaka University and Osaka City University, Departments of Mathematics
収録物名	Osaka Journal of Mathematics
巻(号)	50(2)
ページ	439-455
刊行年月	2013-06
言語	英語
ハンドルURL	https://hdl.handle.net/11094/25095
DOI	https://doi.org/10.18910/25095
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 50, Number 2　(2013-6）

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. 2013, 50(2), p. 439-455
DC.title	FORMALITY AND HARD LEFSCHETZ PROPERTY OF ASPHERICAL MANIFOLDS
DC.creator	Kasuya, Hisashi
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	2013-06
DCTERMS.abstract	For a Lie group G = R^n ⋉_φ R^m with the semi-simple action φ: R^n → Aut(R^m), we show that if Γ is a finite extension of a lattice of G then K(Γ, 1) is formal. Moreover we show that a compact symplectic aspherical manifold with the fundamental group Γ satisfies the hard Lefschetz property. By those results we give many examples of formal solvmanifolds satisfying the hard Lefschetz property but not admitting Kähler structures.
DC.identifier	10.18910/25095
DC.format	25095
citation_title	FORMALITY AND HARD LEFSCHETZ PROPERTY OF ASPHERICAL MANIFOLDS
citation_author	Kasuya, Hisashi
citation_publisher	Osaka University and Osaka City University, Departments of Mathematics
citation_language	英語
citation_date	2013-06
citation_journal_title	Osaka Journal of Mathematics
citation_volume	50
citation_issue	2
citation_firstpage	439
citation_lastpage	455
citation_public_url	https://hdl.handle.net/11094/25095
citation_doi_detail	10.18910/25095
citation_doi	https://doi.org/10.18910/25095