Kaehlerian reduction in steps
Symplectic Geometry
2011-04-13 v1 Complex Variables
Abstract
We study Hamiltonian actions of compact Lie groups K on Kaehler manifolds which extend to a holomorphic action of the complexified group K^C. For a closed normal subgroup L of K we show that the Kaehlerian reduction with respect to L is a stratified Hamiltonian Kaehler K^C/L^C-space whose Kaehlerian reduction with respect to K/L is naturally isomorphic to the Kaehlerian reduction of the original manifold with respect to K.
Cite
@article{arxiv.0709.0205,
title = {Kaehlerian reduction in steps},
author = {Daniel Greb and Peter Heinzner},
journal= {arXiv preprint arXiv:0709.0205},
year = {2011}
}
Comments
19 pages