The $\ell^2$-cohomology of hyperplane complements

Michael W. Davis; Tadeusz Januszkiewicz; Ian J. Leary

doi:10.4171/ggd/14

JournalsggdVol. 1, No. 3pp. 301–309

The $ℓ^{2}$ -cohomology of hyperplane complements

Michael W. Davis
Ohio State University, Columbus, USA
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Tadeusz Januszkiewicz
Polskiej Akademii Nauk, Warszawa, Poland
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- zbMATH Open
Ian J. Leary
University of Southampton, UK

$The $\ell^2$-cohomology of hyperplane complements cover$

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Abstract

We compute the $ℓ^{2}$ -Betti numbers of the complement of a finite collection of affine hyperplanes in $C^{n}$ . At most one of the $ℓ^{2}$ -Betti numbers is nonzero.

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Michael W. Davis, Tadeusz Januszkiewicz, Ian J. Leary, The $ℓ^{2}$ -cohomology of hyperplane complements. Groups Geom. Dyn. 1 (2007), no. 3, pp. 301–309

DOI 10.4171/GGD/14