Weighted cohomology of arithmetic groups
Number Theory
2016-09-07 v1
Abstract
M. Goresky, G. Harder, and R. MacPherson defined weighted cohomologies of arithmetic groups \Gamma in a real group G, with coefficients in certain local systems, associated to arbitrary upper and lower weight profiles. The author shows, using essentially local arguments on the reductive Borel-Serre compactification, that these cohomologies agree with certain weighted L^2 cohomologies defined by J. Franke. When the rank of G is equal to that of a maximal compact subgroup, this implies that the cohomologies associated to both upper and lower middle profiles are both isomorphic to L^2 cohomology.
Cite
@article{arxiv.math/9907207,
title = {Weighted cohomology of arithmetic groups},
author = {Arvind Nair},
journal= {arXiv preprint arXiv:math/9907207},
year = {2016}
}
Comments
32 pages, published version, abstract added in migration