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

共 6 条

[1]

BROWN KS, 1982, GRAD TEXTS MATH, V87

[2]

Davis MW, 2007, GROUP GEOM DYNAM, V1, P301

[3]

Davis M. W., 2010, ARXIV10022564

[4] Cohomology of Coxeter groups with group ring coefficients: II [J].

Davis, Michael W. ;

Dymara, Jan ;

Januszkiewicz, Tadeusz ;

Okun, Boris .

ALGEBRAIC AND GEOMETRIC TOPOLOGY, 2006, 6 :1289-1318

[5] The l2-cohomology of Artin groups [J].

Davis, MW ;

Leary, IJ .

JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES, 2003, 68 :493-510

[6] THE HOMOLOGICAL ALGEBRA OF ARTIN GROUPS [J].

SQUIER, CC .

MATHEMATICA SCANDINAVICA, 1994, 75 (01) :5-43

← 1 →