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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Description/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.
| Item Type: | Article |
|---|---|
| ISSNs: | 1073-7928 (print) 1687-0247 (electronic) |
| Subjects: | Q Science > QA Mathematics |
| Divisions: | Faculty of Social and Human Sciences > Mathematical Sciences > Pure Mathematics |
| Item ID: | 199423 |
| Date Deposited: | 18 Oct 2011 10:44 |
| Last Modified: | 18 Oct 2011 10:44 |
| Contributors: | Davis, Michael W. (Author) Januszkiewicz, Tadeusz (Author) Leary, Ian J. (Author) Okun, Boris (Author) |
| Funder: | NSF |
| Date: | 2011 |
| Status: | Published |
| URI: | http://eprints.soton.ac.uk/id/eprint/199423 |
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