AbstractConsider an action of a connected compact Lie group on a compact complex manifold M, and two equivariant vector bundles L and E on M, with L of rank 1. In this note, we give holomorphic Morse inequalities in the spirit of Demailly for the invariant part of the Dolbeault cohomology of high tensor powers of L twisted by E, via the induced geometric data on the reduced space
We show that if M is the total space of a holomorphic bundle with base space a simply connected homo...
Let X be a compact manifold with a smooth action of a compact connected Lie group G. Let L! X be a c...
ABSTRACT. Let X be an abstract compact orientable CR manifold of dimension 2n 1, n> 2, and let L...
Consider an action of a connected compact Lie group on a compact complex manifold $M$, and two equi...
AbstractWe introduce Morse-type inequalities for a holomorphic circle action on a holomorphic vector...
Let X be a compact complex manifold with boundary and let L-k be a high power of a hermitian holomor...
We develop the theory of twisted L²-cohomology and twisted spectral invariants for flat Hilbertian b...
Abstract. Let X be a smooth projective variety acted on by a reductive group G. Let L be a positive ...
We prove the equivariant holomorphic Morse inequalities for a holomorphic torus action on a holomorp...
AbstractLet G be a finite group and M be a compact G-manifold on which the G-action is semifree. For...
Consider a holomorphic torus action on a complex manifold which lifts to a holomorphic vector bundle...
AbstractLet Γ be a cocompact lattice in a connected complex Lie group G. Given an invariant holomorp...
In this paper it is shown that in the Morse inequalities on a multiply connected manifold, instead o...
Abstract. We study the Morse theory of the Yang-Mills-Higgs functional on the space of pairs (A,Φ), ...
Abstract. Based on Morse homology of Morse functions, we give a new proof of the Morse–Bott inequali...
We show that if M is the total space of a holomorphic bundle with base space a simply connected homo...
Let X be a compact manifold with a smooth action of a compact connected Lie group G. Let L! X be a c...
ABSTRACT. Let X be an abstract compact orientable CR manifold of dimension 2n 1, n> 2, and let L...
Consider an action of a connected compact Lie group on a compact complex manifold $M$, and two equi...
AbstractWe introduce Morse-type inequalities for a holomorphic circle action on a holomorphic vector...
Let X be a compact complex manifold with boundary and let L-k be a high power of a hermitian holomor...
We develop the theory of twisted L²-cohomology and twisted spectral invariants for flat Hilbertian b...
Abstract. Let X be a smooth projective variety acted on by a reductive group G. Let L be a positive ...
We prove the equivariant holomorphic Morse inequalities for a holomorphic torus action on a holomorp...
AbstractLet G be a finite group and M be a compact G-manifold on which the G-action is semifree. For...
Consider a holomorphic torus action on a complex manifold which lifts to a holomorphic vector bundle...
AbstractLet Γ be a cocompact lattice in a connected complex Lie group G. Given an invariant holomorp...
In this paper it is shown that in the Morse inequalities on a multiply connected manifold, instead o...
Abstract. We study the Morse theory of the Yang-Mills-Higgs functional on the space of pairs (A,Φ), ...
Abstract. Based on Morse homology of Morse functions, we give a new proof of the Morse–Bott inequali...
We show that if M is the total space of a holomorphic bundle with base space a simply connected homo...
Let X be a compact manifold with a smooth action of a compact connected Lie group G. Let L! X be a c...
ABSTRACT. Let X be an abstract compact orientable CR manifold of dimension 2n 1, n> 2, and let L...
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