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.
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Moscow MV Lomonosov State Univ, Chair Differential Geometry & Applicat, Moscow, RussiaMoscow MV Lomonosov State Univ, Chair Differential Geometry & Applicat, Moscow, Russia
Fedoseev, Denis A.
Manturov, Vassily O.
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Bauman Moscow State Tech Univ, Chair FN 12, Moscow, RussiaMoscow MV Lomonosov State Univ, Chair Differential Geometry & Applicat, Moscow, Russia
Manturov, Vassily O.
Cheng, Zhiyun
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Beijing Normal Univ, Lab Math & Complex Syst, Sch Math Sci, Minist Educ, Beijing 100875, Peoples R ChinaMoscow MV Lomonosov State Univ, Chair Differential Geometry & Applicat, Moscow, Russia