References
Andreotti, A., Vesentini, E.: Carleman estimates for the Laplace-Beltrami equation on complex manifolds. Pub. Math. IHES25, 81–130 (1965)
Baily, W., Borel, A.: Compactification of arithmetic quotients of bounded symmetric domains. Ann. of Math.84, 442–528 (1966)
Borel, A.: Introduction aux groupes arithmétiques. Paris: Hermann 1969
Borel, A.: Stable real cohomology of arithmetic groups. Ann. Sci. ENS7 (4e série) 235–272 (1974)
Borel, A.: Stable andL 2 cohomology of arithmetic groups. Bull. AMS (new series)3, 1025–1027 (1980)
Borel, A., Serre, J.-P.: Corners and arithmetic groups (with Appendix by A. Douady and L. Hérault). Commentarii Math. Helv.48, 436–491 (1973)
Borel, A., Tits, J.: Groupes réductifs., Pub. Math. IHES27, 55–151 (1965)
Cheeger, J.: On the Hodge theory of Riemannian, pseudomanifolds. Proc. Symp. Pure Math.36, 91–146. Providence: AMS, 1980
Deligne, P.: Théorie de Hodge II. Pub. Math. IHES40, 5–57 (1971)
Est, W. van: A generalization of the Cartan-Leray spectral sequence, II. Indag. Math.XX, 406–413 (1958)
Godement, R.: Théorie des Faisceaux. Paris: Hermann 1964
Goresky, M., MacPherson, R.: Intersection homology theory. Topology19, 135–162 (1980)
Goresky, M. MacPherson R.: Intersection homology, II (to appear)
Harder, G.: On the cohomology ofSL(2,ι). In: Lie Groups and Their Representations, 139–150. New York-Toronto: John Wiley 1975
Harder, G.: On the cohomology of discrete arithmetically defined subgroups, 129–160. Proceedings of the International Colloquium on Discrete Subgroups of Lie Groups and Applications to Moduli, Bombay, January, 1973. Bombay: Oxford Univ. Press 1975
Hemperly, J.: The parabolic contribution to the number of linearly independent automorphic forms on a certain bounded domain. American J. of Math.94, 1078–1100 (1972)
Hörmander, L.:L 2 estimates and existence theorems for the\(\bar \partial \) operator. Acta Math.113, 89–152 (1965)
Horváth, J.: Topological Vector Spaces and Distributions. Reading, Mass.: Addison-Wesley 1966
Humphreys, J.: Introduction to Lie Algebras. New York-Heidelberg-Berlin: Springer 1972
Kodaira, K.: Harmonic fields in Riemannian manifolds (generalized, potential theory). Ann. of Math.50, 587–665 (1949)
Kostant, B.: Lie algebra cohomology and the generalized Borel-Weil theorem. Ann. of Math.74, 329–387 (1961)
Macdonald, I.: Symmetric products of an algebraic curve. Topology1, 319–343 (1962)
Matsushima, Y.: On the discrete subgroups and homogeneous spaces of nilpotent Lie groups. Nagoya math. J.2, 95–110 (1951)
Matsushima, Y., Murakami, S.: On vector bundle valued harmonic forms and automorphic forms on symmetric Riemannian manifolds. Ann. of Math.78, 365–416 (1963)
Wallach, N.:L 2 automorphic forms and cohomology classes on arithmetic quotients ofSU(p, q). Manuscript, 1980
Zucker, S.: Hodge theory with degenerating, coefficients:L 2 cohomology in the Poincaré metric. Ann. of Math.109, 415–476 (1979)
Zucker, S.: Locally homogeneous variations of Hodge structure. L'Enseignment Math.27, 243–276 (1981)
Borel, A.: Ensembles fondamentaux pour les groupes arithmétiques, 23–40. Colloque sur la Théorie des Groupes Algébriques, Bruxelles, CBRM (1962)
Cheeger, J.: On the spectral geometry of spaces with cone-like singularities. Proc. Natl. Acad. Sci. USA76 2103–2106 (1979)
Cheeger, J., Goresky, M., MacPherson, R.L 2-cohomology and intersection homology of singular algebraic varieties. In S.-T. Yau (ed.): Seminar on Differential Geometry, 303–340. Princeton: Univ. Press 1982
Gaffney, M.: A special Stokes's theorem for complete Riemannian manifolds. Ann. of Math.60, 140–145 (1954)
Garland, H., Hsiang, W.-C.: A square integrability criterion for the cohomology of an arithmetic group. Proc. Nat'l Acad. Sci. USA59, 354–360 (1968)
Author information
Authors and Affiliations
Additional information
Supported in part by the National Science Foundation, through Grant MCS 81-01650 and a grant to the Institute for Advanced Study (Princeton)
Rights and permissions
About this article
Cite this article
Zucker, S. L 2 cohomology of warped products and arithmetic groups. Invent Math 70, 169–218 (1982). https://doi.org/10.1007/BF01390727
Issue Date:
DOI: https://doi.org/10.1007/BF01390727