Generalized Kahler and hyper-Kahler quotients
Differential Geometry
2023-05-26 v1 Symplectic Geometry
Abstract
We develop a theory of reduction for generalized Kahler and hyper-Kahler structures which uses the generalized Riemannian metric in an essential way, and which is not described with reference solely to a single generalized complex structure. We show that our construction specializes to the usual theory of Kahler and hyper-Kahler reduction, and it gives a way to view usual hyper-Kahler quotients in terms of generalized Kahler reduction.
Keywords
Cite
@article{arxiv.math/0702104,
title = {Generalized Kahler and hyper-Kahler quotients},
author = {Henrique Bursztyn and Gil R. Cavalcanti and Marco Gualtieri},
journal= {arXiv preprint arXiv:math/0702104},
year = {2023}
}
Comments
16 pages, 1 figure. For the proceedings of the Poisson 2006 conference