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

Goto, Ryushi

Osaka Journal of Mathematics, 2012, 49(3), 795-832

アクセス数:216件（2025-07-06 07:13 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
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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
Osaka Journal of Mathematics / Volume 49, Number 3　(2012-9）