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The ?2-cohomology of hyperplane complements

The ?2-cohomology of hyperplane complements
The ?2-cohomology of hyperplane complements
We compute the l^2-Betti numbers of the complement of any finite collection of affine hyperplanes in complex n-space. At most one of the l^2-Betti numbers is non-zero.
1661-7207
301-309
Davis, Michael
b66d2e59-63a2-4de0-a1d7-a196b541af01
Januszkiewicz, Tadeusz
a29c937f-86d4-4d11-adf0-891e10933a0a
Leary, Ian J.
57bd5c53-cd99-41f9-b02a-4a512d45150e
Davis, Michael
b66d2e59-63a2-4de0-a1d7-a196b541af01
Januszkiewicz, Tadeusz
a29c937f-86d4-4d11-adf0-891e10933a0a
Leary, Ian J.
57bd5c53-cd99-41f9-b02a-4a512d45150e

Davis, Michael, Januszkiewicz, Tadeusz and Leary, Ian J. (2007) The ?2-cohomology of hyperplane complements. Groups, Geometry and Dynamics, 1 (3), 301-309. (doi:10.4171/GGD/14).

Record type: Article

Abstract

We compute the l^2-Betti numbers of the complement of any finite collection of affine hyperplanes in complex n-space. At most one of the l^2-Betti numbers is non-zero.

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Published date: 2007
Organisations: Pure Mathematics

Identifiers

Local EPrints ID: 199405
URI: http://eprints.soton.ac.uk/id/eprint/199405
ISSN: 1661-7207
PURE UUID: 4a69b26c-aecf-4d19-8109-fbc5a3419d90
ORCID for Ian J. Leary: ORCID iD orcid.org/0000-0001-8300-4979

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Date deposited: 18 Oct 2011 15:29
Last modified: 15 Mar 2024 03:36

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Contributors

Author: Michael Davis
Author: Tadeusz Januszkiewicz
Author: Ian J. Leary ORCID iD

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