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Perfect forms and the cohomology of modular groups

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arxiv 1001.0789 v1 pith:ZFVSDKEF submitted 2010-01-05 math.NT math.KT

Philippe Elbaz-Vincent , Herbert Gangl , Christophe Soulé This is my paper · ORCID
classification math.NTmath.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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Cited by 1 Pith paper

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. OpenAlex reports about 7 citations worldwide. Full citation record

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

    math.QA 2026-07 conditional novelty 7.0 of 10

    Canonical integrals of graphs with E=2V−2 equal RW integrals and evaluate to single-valued multiple zeta values, which are shown to lie in the space of Feynman periods.

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