Perfect forms and the cohomology of modular groups
Number Theory
2010-01-07 v1 K-Theory and Homology
Abstract
For N=5, 6 and 7, using the classification of perfect quadratic forms, we compute the homology of the Voronoi cell complexes attached to the modular groups SL_N(\Z) and GL_N(\Z). From this we deduce the rational cohomology of those groups.
Cite
@article{arxiv.1001.0789,
title = {Perfect forms and the cohomology of modular groups},
author = {Philippe Elbaz-Vincent and Herbert Gangl and Christophe Soulé},
journal= {arXiv preprint arXiv:1001.0789},
year = {2010}
}
Comments
17 pages, 7 tables and figures