Equivariant holomorphic Morse inequalities. I. Heat kernel proof
Equivariant holomorphic Morse inequalities. I. Heat kernel proof
Assume that the circle group acts holomorphically on a compact Kahler manifold with isolated fixed points and that the action can be lifted holomorphically to a holomorphic vector bundle.We use some techniques developed by Bismut and Lebeau to give a heat kernel proof of the equivariant holomorphic Morse inequalities, which, …