TWISTED COHOMOLOGY FOR HYPERBOLIC THREE MANIFOLDS

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タイトル	TWISTED COHOMOLOGY FOR HYPERBOLIC THREE MANIFOLDS
著者	Menal-Ferrer, Pere Menal-Ferrer, Pere
著者	Porti, Joan 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.
公開者	Osaka University and Osaka City University, Departments of Mathematics
掲載誌名	Osaka Journal of Mathematics
巻	49
号	3
開始ページ	741
終了ページ	769
刊行年月	2012-09
ISSN	00306126
NCID	AA00765910
URL	http://hdl.handle.net/11094/23151
言語	英語
DOI	info:doi/10.18910/23151
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）

著者版フラグ	publisher
NII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.49(3) P.741-P.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
DCTERMS.issued" scheme="DCTERMS.W3CDTF	2012-09
DC.identifier" scheme="DCTERMS.URI	http://hdl.handle.net/11094/23151
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	info:doi/10.18910/23151
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_issn	00306126
citation_public_url	http://hdl.handle.net/11094/23151
citation_doi	info:doi/10.18910/23151