Deformations of generalized holomorphic structures

JOURNAL OF GEOMETRY AND PHYSICS

卷:77

Article

Wang, Yicao

关键词: Generalized complex structure;    Generalized holomorphic structure;    Deformation;    Differential graded Lie algebra;    Maurer-Cartan equation;   

DOI  :  10.1016/j.geomphys.2013.12.002

来源: Elsevier

【 摘 要 】

A deformation theory of generalized holomorphic structures in the setting of (generalized) principal fibre bundles is developed. It allows the underlying generalized complex structure to vary together with the generalized holomorphic structure. We study the related differential graded Lie algebra, which controls the deformation problem via the Maurer-Cartan equation. As examples, we check the content of the Maurer-Cartan equation in detail in the special cases where the underlying generalized complex structure is symplectic or complex. A deformation theorem, together with some non-obstructed examples, is also included. (C) 2013 Elsevier By. All rights reserved.

【 授权许可】

Free