Summary
We study Hamiltonian actions of compact Lie groups K on Kähler 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 Kählerian reduction with respect to L is a stratified Hamiltonian Kähler K ℂ/L ℂ-space whose Kählerian reduction with respect to K/L is naturally isomorphic to the Kählerian reduction of the original manifold with respect to K.
Mathematics Subject Classification (2000): 53D20, 32M05, 53C55
This note is dedicated to Prof. Gerry Schwarz on the occasion of his 60th birthday
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Greb, D., Heinzner, P. (2010). Kählerian Reduction in Steps. In: Campbell, H., Helminck, A., Kraft, H., Wehlau, D. (eds) Symmetry and Spaces. Progress in Mathematics, vol 278. Birkhäuser Boston. https://doi.org/10.1007/978-0-8176-4875-6_5
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DOI: https://doi.org/10.1007/978-0-8176-4875-6_5
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