Torus actions on compact quotients
dg-ga
2008-02-03 v3 Differential Geometry
Abstract
We consider the action of a noncompact torus H on the compact quotient G/L, where G is a Lie group containing H and L is a uniform lattice in G. Using harmonic analysis on G we prove a formula relating the compact orbits of H to the action of H on the (infinite dimensional) tangential cohomology. The formula may be viewed as a Lefschetz formula or an equivariant index theorem for noncompact group actions.
Cite
@article{arxiv.dg-ga/9604008,
title = {Torus actions on compact quotients},
author = {Anton Deitmar},
journal= {arXiv preprint arXiv:dg-ga/9604008},
year = {2008}
}
Comments
LATEX, 12 pages, Journal of Lie Theory (1996)