Betti numbers on a tower of coverings
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Publication:1325157
DOI10.1215/S0012-7094-94-07308-0zbMath0818.22007OpenAlexW2031654319MaRDI QIDQ1325157
Publication date: 10 August 1995
Published in: Duke Mathematical Journal (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1215/s0012-7094-94-07308-0
sectional curvaturerank one symmetric spacesvolumesnegatively curved manifoldsgrowth of Betti numberscocompact arithmetic lattices
Global differential geometry of Hermitian and Kählerian manifolds (53C55) Discrete subgroups of Lie groups (22E40) Differential geometry of symmetric spaces (53C35)
Related Items
Approximating \(L^ 2\)-invariants by their finite-dimensional analogues, Holomorphic line bundles over a tower of coverings, A tower of coverings of quasi-projective varieties, Effective estimates on the very ampleness of the canonical line bundle of locally Hermitian symmetric spaces, Szegő kernels and Poincaré series, Injectivity radii of hyperbolic integer homology 3-spheres, Effective very ampleness of the canonical line bundles on ball quotients
Cites Work
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- Geometric construction of cohomology for arithmetic groups. I
- Function theory on manifolds which possess a pole
- \(L^ 2\)-cohomology and index theorem for the Bergman metric
- Spectral geometry: direct and inverse problems. With an appendix by G. Besson
- On the parabolic kernel of the Schrödinger operator
- Kato's inequality and the spectral distribution of Laplacians on compact Riemannian manifolds
- The differential form spectrum of hyperbolic space
- Limit formulas for multiplicities in \(L^ 2(\Gamma-G)\). II: The tempered spectrum
- On the first Betti numbers of hyperbolic surfaces
- Bounds for multiplicities of automorphic representations
- On the Betti numbers of a hyperbolic manifold
- On a problem of M. F. Janowitz
- On the first Betti number of a constant negatively curved manifold
- Limit formulas for multiplicities in \(L^2(\Gamma\setminus G)\)
- Asymptotic expansions for the compact quotients of properly discontinuous group actions
- Geometric superrigidity
- Asymptotic behaviour of spectra of compact quotients of certain symmetric spaces
- On the first Betti number of compact quotient spaces of higher-dimensional symmetric spaces
- Kähler hyperbolicity and \(L_ 2\)-Hodge theory
- On the Differential Form Spectrum of Negatively Curved Riemannian Manifolds
- On the Spectrum of Towers
- L 2 Harmonic Forms on Rotationally Symmetric Riemannian Manifolds
- A lower bound for the heat kernel
