Homology computations for complex braid groups

被引：14

作者：

Callegaro, Filippo ^{[1
]}

Marin, Ivan ^{[2
]}

机构：

[1] Scuola Normale Super Pisa, I-56126 Pisa, Italy

[2] Univ Paris 07, Inst Math Jussieu, F-75013 Paris, France

来源：

JOURNAL OF THE EUROPEAN MATHEMATICAL SOCIETY | 2014年 / 16卷 / 01期

关键词：

UNITARY REFLECTION GROUPS; ARTIN GROUPS; COHOMOLOGY; SPACES;

D O I：

10.4171/JEMS/429

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Complex braid groups are the natural generalizations of braid groups associated to arbitrary (finite) complex reflection groups. We investigate several methods for computing the homology of these groups. In particular, we get the Poincare polynomial with coefficients in a finite field for one large series of such groups, and compute the second integral cohomology group for all of them. As a consequence we get non-isomorphism results for these groups.

引用

页码：103 / 164

页数：62

共 41 条

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[Anonymous], HOMEPAGE DEV VERSION

[2] FUNDAMENTAL GROUPS OF SPACES OF REGULAR ORBITS OF FINITE UNITARY REFLECTION GROUPS OF DIMENSION 2 [J].