Kaehlerian reduction in steps

Details Kaehlerian reduction in steps Kaehlerian reduction in steps

2007-09-03

arxiv.org/abs/0709.0205v1

Progr. Math., 278, pp. 63-82, Birkhauser Boston, 2010

Mathematics

Symplectic Geometry

19 pages

Scientific paper

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.

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