TWISTED COHOMOLOGY FOR HYPERBOLIC THREE MANIFOLDS

Menal-Ferrer, Pere; Porti, Joan

Osaka Journal of Mathematics, 2012, 49(3), 741-769

アクセス数:177件（2025-07-02 15:52 集計）

固定URL: https://doi.org/10.18910/23151

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タイトル	TWISTED COHOMOLOGY FOR HYPERBOLIC THREE MANIFOLDS
著者	著者名 Menal-Ferrer, Pere
著者	著者名 Porti, Joan
抄録	For a complete hyperbolic three manifold M, we consider the representations of π_1(M) obtained by composing a lift of the holonomy with complex finite dimensional representations of SL(2, C). We prove a vanishing result for the cohomology of M with coefficients twisted by these representations, using techniques of Matsushima–Murakami. We give some applications to local rigidity.
出版者	Osaka University and Osaka City University, Departments of Mathematics
収録物名	Osaka Journal of Mathematics
巻(号)	49(3)
ページ	741-769
刊行年月	2012-09
言語	英語
ハンドルURL	https://hdl.handle.net/11094/23151
DOI	https://doi.org/10.18910/23151
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 49, Number 3　(2012-9）

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. 2012, 49(3), p. 741-769
DC.title	TWISTED COHOMOLOGY FOR HYPERBOLIC THREE MANIFOLDS
DC.creator	Menal-Ferrer, Pere
DC.creator	Porti, Joan
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	2012-09
DCTERMS.abstract	For a complete hyperbolic three manifold M, we consider the representations of π_1(M) obtained by composing a lift of the holonomy with complex finite dimensional representations of SL(2, C). We prove a vanishing result for the cohomology of M with coefficients twisted by these representations, using techniques of Matsushima–Murakami. We give some applications to local rigidity.
DC.identifier	10.18910/23151
DC.format	23151
citation_title	TWISTED COHOMOLOGY FOR HYPERBOLIC THREE MANIFOLDS
citation_author	Menal-Ferrer, Pere
citation_author	Porti, Joan
citation_publisher	Osaka University and Osaka City University, Departments of Mathematics
citation_language	英語
citation_date	2012-09
citation_journal_title	Osaka Journal of Mathematics
citation_volume	49
citation_issue	3
citation_firstpage	741
citation_lastpage	769
citation_public_url	https://hdl.handle.net/11094/23151
citation_doi_detail	10.18910/23151
citation_doi	https://doi.org/10.18910/23151