Cohomology of hyperplane complements with group ring coefficients

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), 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
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
Date Deposited: 18 Oct 2011 10:44
Last Modified: 27 Mar 2014 19:46

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