Cohomology of hyperplane complements with group ring coefficients
Cohomology of hyperplane complements with group ring coefficients
We compute the cohomology with group ring coefficients of the complement of any finite collection of affine hyperplanes in complex n-space. It is non-zero in exactly one degree, namely the degree that is equal to the rank of the arrangement.
2110-2116
Davis, Michael W.
87bf7388-a131-40ee-92d7-52e11c9bc9f8
Januszkiewicz, Tadeusz
a29c937f-86d4-4d11-adf0-891e10933a0a
Leary, Ian J.
57bd5c53-cd99-41f9-b02a-4a512d45150e
Okun, Boris
16a2ba4c-f2ad-4c36-839b-2af171c6d7ff
2011
Davis, Michael W.
87bf7388-a131-40ee-92d7-52e11c9bc9f8
Januszkiewicz, Tadeusz
a29c937f-86d4-4d11-adf0-891e10933a0a
Leary, Ian J.
57bd5c53-cd99-41f9-b02a-4a512d45150e
Okun, Boris
16a2ba4c-f2ad-4c36-839b-2af171c6d7ff
Davis, Michael W., Januszkiewicz, Tadeusz, Leary, Ian J. and Okun, Boris
(2011)
Cohomology of hyperplane complements with group ring coefficients.
International Mathematics Research Notices, 2011 (9), .
(doi:10.1093/imrn/rnq151).
Abstract
We compute the cohomology with group ring coefficients of the complement of any finite collection of affine hyperplanes in complex n-space. It is non-zero in exactly one degree, namely the degree that is equal to the rank of the arrangement.
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e-pub ahead of print date: 18 July 2010
Published date: 2011
Organisations:
Pure Mathematics
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Local EPrints ID: 199423
URI: http://eprints.soton.ac.uk/id/eprint/199423
PURE UUID: cd5ac1a8-4b17-474d-9564-7d372614b54b
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Date deposited: 18 Oct 2011 10:44
Last modified: 15 Mar 2024 03:36
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Author:
Michael W. Davis
Author:
Tadeusz Januszkiewicz
Author:
Boris Okun
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