Geodesic
The $\ell^2$-cohomology of hyperplane complements
Michael W. Davis1 ; Tadeusz Januszkiewicz2 ; Ian J. Leary3 orcid
1Ohio State University, Columbus, USA
2Polskiej Akademii Nauk, Warszawa, Poland
3University of Southampton, UK
Groups, geometry, and dynamics, Tome 1 (2007) no. 3, pp. 301-309

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DOI

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.
DOI : 10.4171/ggd/14
Classification : 52-XX, 32-XX, 00-XX
Mots-clés : Hyperplane arrangements, <var>L</var><sup>2</sup>-cohomology.

Michael W. Davis  1   ; Tadeusz Januszkiewicz  2   ; Ian J. Leary  3

1 Ohio State University, Columbus, USA
2 Polskiej Akademii Nauk, Warszawa, Poland
3 University of Southampton, UK 
Michael W. Davis; Tadeusz Januszkiewicz; Ian J. Leary. The $\ell^2$-cohomology of hyperplane complements. Groups, geometry, and dynamics, Tome 1 (2007) no. 3, pp. 301-309. doi: 10.4171/ggd/14
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