We compute the ℓ2-Betti numbers of the complement of a finite collection of affine hyperplanes in ℂn. At most one of the ℓ2-Betti numbers is nonzero.
Cite this article
Michael W. Davis, Tadeusz Januszkiewicz, Ian J. Leary, The ℓ<sup>2</sup>-cohomology of hyperplane complements. Groups Geom. Dyn. 1 (2007), no. 3, pp. 301–309DOI 10.4171/GGD/14