Cohomology of Hyperplane Complements with Group Ring Coefficients

被引：5

作者：

Davis, Michael W. ^{[1
]}

Januszkiewicz, Tadeusz ^{[1
,2
]}

Leary, Ian J. ^{[1
]}

Okun, Boris ^{[3
]}

机构：

[1] Ohio State Univ, Dept Math, Columbus, OH 43210 USA

[2] Polish Acad Sci, Math Inst, PL-00901 Warsaw, Poland

[3] Univ Wisconsin, Dept Math, Milwaukee, WI 53201 USA

来源：

INTERNATIONAL MATHEMATICS RESEARCH NOTICES | 2011年 / 2011卷 / 09期

基金：

美国国家科学基金会;

关键词：

L(2)-COHOMOLOGY;

D O I：

10.1093/imrn/rnq151

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We compute the cohomology with group ring coefficients of the complement of a finite collection of affine hyperplanes in C-n. It is nonzero in exactly one degree, namely, the degree equal to the rank of the arrangement.

引用

页码：2110 / 2116

页数：7

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