ON DEFORMATIONS OF GENERALIZED CALABI–YAU AND GENERALIZED SU(n)-STRUCTURES

Goto, Ryushi

doi:https://doi.org/10.18910/23150

アクセス数:122件（2024-04-18 23:41 集計）

固定URL: https://doi.org/10.18910/23150

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タイトル	ON DEFORMATIONS OF GENERALIZED CALABI–YAU AND GENERALIZED SU(n)-STRUCTURES
著者	NRID 1000030252571 1000030252571 researchmap permalink r.goto r.goto Scopus Author ID 7101663867 7101663867 著者名 Goto, Ryushi
抄録	In this paper we will introduce the new notion of generalized geometric structures defined by systems of closed differential forms. From a cohomological point of view, we develop a unified approach to deformation problems and establish a criterion for unobstructed deformations of the generalized geometric structures. We construct the moduli spaces of the structures with the action of d-closed b-fields and show that the period map of the moduli space is locally injective under the certain cohomological condition (the local Torelli type theorem). We apply our approach to generalized Calabi–Yau structures and generalized SU(n)-structures and obtain unobstructed deformations of generalized Calabi–Yau structures if the dd^J -property is satisfied. We also have unobstructed deformations of generalized SU(n)-structures and show that the period map of the moduli space of generalized SU(n)-structures is locally injective.
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	795-832
刊行年月	2012-09
言語	英語
ハンドルURL	https://hdl.handle.net/11094/23150
DOI	https://doi.org/10.18910/23150
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. 795-832
DC.title	ON DEFORMATIONS OF GENERALIZED CALABI–YAU AND GENERALIZED SU(n)-STRUCTURES
DC.creator	Goto, Ryushi
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	In this paper we will introduce the new notion of generalized geometric structures defined by systems of closed differential forms. From a cohomological point of view, we develop a unified approach to deformation problems and establish a criterion for unobstructed deformations of the generalized geometric structures. We construct the moduli spaces of the structures with the action of d-closed b-fields and show that the period map of the moduli space is locally injective under the certain cohomological condition (the local Torelli type theorem). We apply our approach to generalized Calabi–Yau structures and generalized SU(n)-structures and obtain unobstructed deformations of generalized Calabi–Yau structures if the dd^J -property is satisfied. We also have unobstructed deformations of generalized SU(n)-structures and show that the period map of the moduli space of generalized SU(n)-structures is locally injective.
DC.identifier	10.18910/23150
DC.format	application/pdf
citation_title	ON DEFORMATIONS OF GENERALIZED CALABI–YAU AND GENERALIZED SU(n)-STRUCTURES
citation_author	Goto, Ryushi
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	795
citation_lastpage	832
citation_public_url	https://hdl.handle.net/11094/23150
citation_doi_detail	10.18910/23150
citation_doi	https://doi.org/10.18910/23150

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