Abstract
We prove a higher equivariant index theorem for homogeneous spaces.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
[AtS] M. F. Atiyah and I. Singer, Index theorem of elliptic operators, I. III, Ann Math., 87 (1968), 484–530, 546–609
[BGV] N. Berline, E. Getzler and M. Vergne, Heat Kernels and Dirac Operators, Springer, NY., 1992
[BoW] A. Borel and N. Wallach, Continuous Cohomology, Discrete Groups and Representations of Reductive Groups, Ann. Math. Studies, Princeton Univ. Press, NJ., 1980
[CoM 1] A. Connes and H. Moscovici, TheL 2-index theorem for homogeneous spaces of Lie groups, Ann. Math., 115 (1982), 291–330
[CoM 2] A. Connes and H. Moscovici, Cyclic cohomology, the Novikov conjecture and hyperbolic groups, Topology, 29 (1990), 345–388
[Gong] D. Gong,L 2-Analytic Torsions, Equivariant Cyclic Cohomology and the Novikov Conjecture, thesis, SUNY at Stony Brook, 1992
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Gong, D. Higher equivariant index theorem for homogeneous spaces. Manuscripta Math 86, 239–252 (1995). https://doi.org/10.1007/BF02567992
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF02567992