Perfect forms, K-theory and the cohomology of modular groups
Résumé
For N = 5, 6 and 7, using the classification of perfect quadratic forms, we compute the homology of the Voronoï cell complexes attached to the modular groups SL_N (Z) and GL_N (Z). From this we deduce the rational cohomology of those groups and some information about K_m (Z), when m = 5, 6 and 7.
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ElbazGanglSoule_KtheoryCohomologyOfModularGroupsV13.pdf (212.76 Ko)
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