Perfect forms and the cohomology of modular groups
Elbaz-Vincent, Philippe · Gangl, Herbert · Soulé, Christophe
Number Theory
K-Theory and Homology
11H55; 11F75; 20J06 (primary); 11F06; 11Y99; 55N91; 57-04 (secondary)
Original · EN
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 SLₙ() and GLₙ(). From this we deduce the rational cohomology of those groups.
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