The GIT aspect of generalized Kahler reduction. I

JOURNAL OF GEOMETRY AND PHYSICS

卷:138

Article

Wang, Yicao¹ 

[1] Hohai Univ, Dept Math, Nanjing 210098, Jiangsu, Peoples R China

关键词: Generalized Kahler structure;    Group action;    Moment map;    Generalized Kahler reduction;    GIT quotient;   

DOI  :  10.1016/j.geomphys.2018.12.014

来源: Elsevier

【 摘 要 】

We revisit generalized Kahler reduction introduced by Lin and Tolman (2006) from a viewpoint of geometric invariant theory. It is shown that in the strong Hamiltonian case introduced in the present paper, many well-known conclusions of ordinary Kahler reduction can be generalized without much effort to the generalized setting. It is also shown how generalized holomorphic structures arise naturally from the reduction procedure. (C) 2018 Elsevier B.V. All rights reserved.

【 授权许可】

Free