The l²-cohomology of hyperplane complements

2006/12/14 by Davis, M. W., Januszkiewicz, T., Leary, I. J. · 1 citation
#32S22 #52B30 #52C35 #57N65 #58J22 #Algebraic Topology (math.AT) #FOS: Mathematics #Geometric Topology (math.GT) #Group Theory (math.GR)

paper · doi:10.48550/arxiv.math/0612404

Abstract

We compute the l²-Betti numbers of the complement of a finite collection of affine hyperplanes in complex space. At most one of the l²-Betti numbers is non-zero.

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• The McCullough-Miller complex for right angled Artin groups

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