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Complex homogeneous spaces of real groups with top homology in codimension two

Authors:	Bruce Gilligan

Institution:	(1) Department of Mathematics and Statistics, University of Regina, S4S 0A2 Regina, Canada

Abstract:	SupposeX=G/H is a connected homogeneous complex manifold, whereG is a Lie group andH is a closed subgroup. Assume $\mathcal{O}$ (X) and letG/H G/I be the holomorphic reduction ofX. If the top nonvanishing homology group ofX with coefficients in ₂ is in codimension two, then either a complex Lie group acts tansitively onG/I (see 3]) orG/I is biholomorphic to the unit disk.Partially supported by NSERC Grant A3494 and by the Deutsche Forschungsgemeinschaft

Keywords:	Holomorphic reduction homology invariant d_x=2 unit disk
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