%0 Journal Article
%T Symmetries in generalized K£¿hler geometry
%A Yi Lin
%A Susan Tolman
%J Mathematics
%D 2005
%I arXiv
%R 10.1007/s00220-006-0096-z
%X We define the notion of a moment map and reduction in both generalized complex geometry and generalized K\"{a}hler geometry. As an application, we give very simple explicit constructions of bi-Hermitian structures on $\C\P^n$, Hirzebruch surfaces, the blow up of $\CP^2$ at arbitrarily many points, and other toric varieties, as well as complex Grassmannians.
%U http://arxiv.org/abs/math/0509069v1