Homology computations for complex braid groups II

被引:2
|
作者
Marin, Ivan [1 ]
机构
[1] Univ Picardie Jules Verne, LAMFA, Amiens, France
关键词
Complex reflection groups; Braid groups; Homology; ARTIN GROUPS; MILNOR FIBER; COHOMOLOGY;
D O I
10.1016/j.jalgebra.2017.01.044
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We complete the computation of the integral homology of the generalized braid group B associated to an arbitrary irreducible complex reflection group W of exceptional type. In order to do this we explicitly computed the recursively-defined differential of a resolution of Z as a ZB-module, using parallel computing. We also deduce from this general computation the rational homology of the Milnor fiber of the singularity attached to most of these reflection groups. (C) 2017 Elsevier Inc. All rights reserved.
引用
收藏
页码:540 / 547
页数:8
相关论文
共 50 条
  • [41] Affine braid groups: a better platform than braid groups for cryptology?
    Ping Zhu
    Qiaoyan Wen
    Applicable Algebra in Engineering, Communication and Computing, 2011, 22 : 375 - 391
  • [42] The BNS invariants of the braid groups and pure braid groups of some surfaces
    de Miranda e Pereiro, Carolina
    Sgobbi, Wagner Carvalho
    COMMUNICATIONS IN ALGEBRA, 2025, 53 (04) : 1688 - 1712
  • [43] Ordering the braid groups
    Fenn, R
    Greene, MT
    Rolfsen, D
    Rourke, C
    Wiest, B
    PACIFIC JOURNAL OF MATHEMATICS, 1999, 191 (01) : 49 - 74
  • [44] Braid groups are linear
    Krammer, D
    ANNALS OF MATHEMATICS, 2002, 155 (01) : 131 - 156
  • [45] On marked braid groups
    Fedoseev, Denis A.
    Manturov, Vassily O.
    Cheng, Zhiyun
    JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS, 2015, 24 (13)
  • [46] On quotients of braid groups
    Leung, KH
    Wong, YL
    COMMUNICATIONS IN ALGEBRA, 1996, 24 (08) : 2535 - 2549
  • [47] Orders on Braid Groups
    N. Ya. Medvedev
    Algebra and Logic, 2003, 42 (3) : 177 - 180
  • [48] On braid groups in handlebodies
    Vershinin, VV
    SIBERIAN MATHEMATICAL JOURNAL, 1998, 39 (04) : 645 - 654
  • [49] On braid groups in handlebodies
    V. V. Vershinin
    Siberian Mathematical Journal, 1998, 39 : 645 - 654
  • [50] HILDEN BRAID GROUPS
    Bellingeri, P.
    Cattabriga, A.
    JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS, 2012, 21 (03)