带群环系数的超平面补集的上同调
代数拓扑
2010-02-23 v2 几何拓扑
摘要
我们计算了有限维复向量空间中有限个仿射超平面补集带群环系数的上同调。该上同调恰好在一个次数上非零,即等于超平面配置的秩的次数。
引用
@article{arxiv.1002.3129,
title = {Cohomology of hyperplane complements with group ring coefficients},
author = {Michael W Davis and Tadeusz Januszkiewicz and Ian J Leary and Boris Okun},
journal= {arXiv preprint arXiv:1002.3129},
year = {2010}
}
备注
Second version corrects some misprints in the definition of U_G