%0 Journal Article
%T Equivariant Holomorphic Morse Inequalities III: Non-Isolated Fixed Points
%A Siye Wu
%A Weiping Zhang
%J Mathematics
%D 1997
%I arXiv
%X We prove the equivariant holomorphic Morse inequalities for a holomorphic torus action on a holomorphic vector bundle over a compact Kahler manifold when the fixed-point set is not necessarily discrete. Such inequalities bound the twisted Dolbeault cohomologies of the Kahler manifold in terms of those of the fixed-point set. We apply the inequalities to obtain relations of Hodge numbers of the connected components of the fixed-point set and the whole manifold. We also investigate the consequences in geometric quantization, especially in the context of symplectic cutting.
%U http://arxiv.org/abs/dg-ga/9701009v1