Equivariant holomorphic Morse inequalities. II. Torus and non-abelian group actions
نویسندگان
چکیده
منابع مشابه
Equivariant Holomorphic Morse Inequalities II: Torus and Non-Abelian Group Actions
We extend the equivariant holomorphic Morse inequalities of circle actions to cases with torus and non-Abelian group action. For torus actions, there is a set of inequalities for each choice of action chambers specifying directions in the Lie algebra of the torus. If the group is non-Abelian, there is in addition an action of the Weyl group on the fixed-point set of its maximal torus. The sum o...
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Assume that the circle group acts holomorphically on a compact Kähler manifold with isolated fixed points and that the action can be lifted holomorphically to a holomorphic Hermitian vector bundle. We give a heat kernel proof of the equivariant holomorphic Morse inequalities. We use some techniques developed by Bismut and Lebeau. These inequalities, first obtained by Witten using a different ar...
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ژورنال
عنوان ژورنال: Journal of Differential Geometry
سال: 1999
ISSN: 0022-040X
DOI: 10.4310/jdg/1214425137