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.
机构:
Univ Picardie Jules Verne, LAMFA, CNRS, UMR 7352, 33 rue St Leu, F-80000 Amiens, FranceUniv Picardie Jules Verne, LAMFA, CNRS, UMR 7352, 33 rue St Leu, F-80000 Amiens, France
机构:
Univ Paris 07, Inst Math Jussieu, 175 Rue Chevaleret, F-75013 Paris, FranceUniv Paris 07, Inst Math Jussieu, 175 Rue Chevaleret, F-75013 Paris, France
Marin, Ivan
GALOIS-TEICHMUELLER THEORY AND ARITHMETIC GEOMETRY,
2012,
63
: 337
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357
机构:
Univ Picardie Jules Verne, LAMFA, CNRS, UMR 7352, 33 Rue St Leu, F-80000 Amiens, FranceUniv Picardie Jules Verne, LAMFA, CNRS, UMR 7352, 33 Rue St Leu, F-80000 Amiens, France