Cohomology of hyperplane complements with group ring coefficients

Davis, Michael W., Januszkiewicz, Tadeusz, Leary, Ian J. and Okun, Boris (2010) Cohomology of hyperplane complements with group ring coefficients. International Mathematics Research Notices, 2011, (9), 2110-2116. (doi:10.1093/imrn/rnq151).


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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.

Item Type: Article
Digital Object Identifier (DOI): doi:10.1093/imrn/rnq151
ISSNs: 1073-7928 (print)
1687-0247 (electronic)
Related URLs:
Subjects: Q Science > QA Mathematics
Divisions : Faculty of Social and Human Sciences > Mathematical Sciences > Pure Mathematics
ePrint ID: 199423
Accepted Date and Publication Date:
2010In press
18 July 2010Made publicly available
Date Deposited: 18 Oct 2011 10:44
Last Modified: 31 Mar 2016 13:45
Topics in Geometric Group Theory
Funded by: National Science Foundation (0706259)
1 July 2007 to 30 June 2011
Cohomology, curvature, classifying spaces and symmetry
Funded by: National Science Foundation (0804226)
15 July 2008 to 30 June 2011

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