Morse inequalities for covering manifolds

DOI10.1017/S0027763000007947zbMath1018.32022MaRDI QIDQ2764673

Ionuţ Chiose, George Marinescu, Radu Alexandru Todor

Publication date: 16 September 2003

Published in: Nagoya Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

discrete fundamental groupMoishezon\(L^2\)-holomorphic sections1-concave manifoldsholomorphic hermitian line bundleweak Lefschetz theorems

Mathematics Subject Classification ID

(q)-convexity, (q)-concavity (32F10) Sheaves and cohomology of sections of holomorphic vector bundles, general results (32L10) Discontinuous groups of transformations (57S30) Topological aspects of complex manifolds (32Q55)

Related Items

The Levi problem on strongly pseudoconvex \(G\)-bundles, On Bergman kernel functions and weak holomorphic Morse inequalities, Unitary representations of unimodular Lie groups in Bergman spaces, The growth of dimension of cohomology of semipositive line bundles on Hermitian manifolds, Generalized Bergman kernels on symplectic manifolds, Local Demailly-Bouche's holomorphic morse inequalities, Cohomology dimension growth for Nakano \(q\)-semipositive line bundles, A criterion for Moishezon spaces with isolated singularities, Exponential estimate for the asymptotics of Bergman kernels, The Asymptotics of the $L^2$-analytic Torsion on CR Manifolds with $S^1$ Action, Morse inequalities for Fourier components of Kohn-Rossi cohomology of CR covering manifolds with \(S^1\)-action

Cites Work

• Unnamed Item
• Isomorphism theorems for cohomology groups of weakly 1-complete manifolds
• On complex manifolds which can be compactified by adding finitely many points
• Champs magnétiques et inégalités de Morse pour la d-cohomologie. (Magnetic fields and Morse inequalities for d-cohomology)
• A vanishing theorem for semipositive line bundles over non-Kähler manifolds
• \(L_ 2\)-cohomology and intersection homology of certain algebraic varieties with isolated singularities
• Compactification of complete Kähler manifolds of negative Ricci curvature
• Supersymmetry and Morse theory
• A differential geometric property of big line bundles
• Embedding of three dimensional Cauchy-Riemann manifolds
• Carleman estimates for the Laplace-Beltrami equation on complex manifolds
• Inégalités de Morse pour la $d$-cohomologie sur une variété holomorphe non compacte
• Zariski's conjecture and related problems
• Backbones of traffic jams
• The Extension Problem in Complex Analysis II; Embeddings with Positive Normal Bundle