Perfect forms and the cohomology of modular groups
classification
🧮 math.NT
math.KT
keywords
groupscohomologyformsmodularperfectattachedcellclassification
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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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