Szegő kernel asymptotics and Morse inequalities on CR manifolds
From MaRDI portal
Publication:431250
DOI10.1007/s00209-011-0875-xzbMath1258.32014arXiv1005.5471OpenAlexW3098052414MaRDI QIDQ431250
George Marinescu, Chin-Yu Hsiao
Publication date: 26 June 2012
Published in: Mathematische Zeitschrift (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1005.5471
Analysis on CR manifolds (32V20) (overlinepartial_b) and (overlinepartial_b)-Neumann operators (32W10)
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Cites Work
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- The \(\overline\partial\)-cohomology groups, holomorphic Morse inequalities, and finite type conditions
- Bergman kernels and local holomorphic Morse inequalities
- An analogue of Demailly's inequality for strictly pseudoconvex CR manifolds
- Erratum: A Hartogs phenomenon on projective varieties
- Champs magnétiques et inégalités de Morse pour la d-cohomologie. (Magnetic fields and Morse inequalities for d-cohomology)
- Demailly's asymptotic Morse inequalities: a heat equation proof
- Kohn-Rossi cohomology and its application to the complex Plateau problem. I
- Complex immersions and Quillen metrics
- The asymptotics of the Ray-Singer analytic torsion associated with high powers of a positive line bundle
- Equivariant holomorphic Morse inequalities. III: Non-isolated fixed points
- An eigenvalue estimate for the \(\overline{\partial}\)-Laplacian
- \(L^2\) holomorphic sections of bundles over weakly pseudoconvex coverings
- Hölder and \(L^p\) estimates for \(\square_b\) on CR manifolds of arbitrary codimension
- A Hartogs phenomenon in projective manifolds
- Holomorphic Morse inequalities and Bergman kernels
- Holomorphic Morse inequalities on manifolds with boundary
- On the extension of holomorphic functions from the boundary of a complex manifold
- Existence of Holomorphic Sections and Perturbation of Positive Line Bundles over q–Concave Manifolds
- Théorèmes de finitude pour la cohomologie des espaces complexes
- Calculus on Heisenberg Manifolds. (AM-119)
- Hypoelliptic operators with double characteristics and related pseudo-differential operators
- The Neumann Problem for the Cauchy-Riemann Complex. (AM-75)
- Stability of embeddings for pseudoconcave surfaces and their boundaries
