Perfect forms and the cohomology of modular groups

2010/01/05 by Elbaz-Vincent, Philippe, Gangl, Herbert, Soulé, Christophe · 1 citation
#11F06 #11F75 #11H55 #11Y99 #20J06 (primary) #55N91 #57-04 (secondary) #FOS: Mathematics #K-Theory and Homology (math.KT) #Number Theory (math.NT)

paper · doi:10.48550/arxiv.1001.0789

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.

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• Graph integrals, Feynman periods, and single-valued multiple zeta values

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