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The L-two cohomology of Artin groups

Abstract

For each Artin group we compute the reduced ℓ2-cohomology of its 'Salvetti complex'. This is a CW-complex which is conjectured to be a model for the classifying space of the Artin group. When this conjecture is known to hold our calculation describes the ℓ2-cohomology of the Artin group

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