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The L-two cohomology of Artin groups

The L-two cohomology of Artin groups
The L-two cohomology of Artin groups
For each Artin group we compute the reduced l^2-cohomology of its `Salvetti complex'. This is a CW-complex which is conjectured to be a model for the classifying space of the Artin group. When this conjecture is known to hold our calculation describes the l^2-cohomology of the Artin group.
0024-6107
493-510
Davis, M.W.
d1f3f122-418d-4217-a490-fa38ae350b01
Leary, I.J.
57bd5c53-cd99-41f9-b02a-4a512d45150e
Davis, M.W.
d1f3f122-418d-4217-a490-fa38ae350b01
Leary, I.J.
57bd5c53-cd99-41f9-b02a-4a512d45150e

Davis, M.W. and Leary, I.J. (2003) The L-two cohomology of Artin groups. Journal of the London Mathematical Society, 68 (2), 493-510. (doi:10.1112/S0024610703004381).

Record type: Article

Abstract

For each Artin group we compute the reduced l^2-cohomology of its `Salvetti complex'. This is a CW-complex which is conjectured to be a model for the classifying space of the Artin group. When this conjecture is known to hold our calculation describes the l^2-cohomology of the Artin group.

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Published date: 2003
Organisations: Pure Mathematics

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Local EPrints ID: 199395
URI: https://eprints.soton.ac.uk/id/eprint/199395
ISSN: 0024-6107
PURE UUID: 78d65d60-8d21-425b-9217-bf1a3c44d719
ORCID for I.J. Leary: ORCID iD orcid.org/0000-0001-8300-4979

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Date deposited: 18 Oct 2011 14:12
Last modified: 20 Jul 2019 00:46

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Author: M.W. Davis
Author: I.J. Leary ORCID iD

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