Cohomology of quasi-abelianized braid groups

被引：0

作者：

Callegaro, Filippo ^{[1
]}

Marin, Ivan ^{[2
]}

机构：

[1] Univ Pisa, Dipartimento Matemat, PI-56127 Pisa, Italy

[2] Univ Picardie Jules Verne, LAMFA UMR CNRS 7352, F-80000 Amiens, France

来源：

MONATSHEFTE FUR MATHEMATIK | 2024年 / 205卷 / 01期

关键词：

Braid group; Pure braid group; Cohomology; Representation theory; REPRESENTATIONS; QUOTIENT;

D O I：

10.1007/s00605-023-01924-0

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We investigate the rational cohomology of the quotient of (generalized) braid groups by the commutator subgroup of the pure braid groups. We provide a combinatorial description of it using isomorphism classes of certain families of graphs. We establish Poincare dualities for them and prove a stabilization property for the infinite series of reflection groups.

引用

页码：71 / 102

页数：32

共 19 条

[1]

Adem Alejandro, 2004, Grundlehren der mathematischen Wissenschaften Fundamental Principles of Mathematical Sciences, V309, DOI [10.1007/978-3-662-06280-7, DOI 10.1007/978-3-662-06280-7]

[2] Torsion subgroups of quasi-abelianized braid groups [J].