The Orlik-Solomon complex and Milnor fibre homology

被引：9

作者：

Denham, G ^{[1
]}

机构：

[1] Univ Oregon, Dept Math, Eugene, OR 97403 USA

来源：

TOPOLOGY AND ITS APPLICATIONS | 2002年 / 118卷 / 1-2期

基金：

加拿大自然科学与工程研究理事会;

关键词：

hyperplane arrangement; Milnor fibration; Orlik-Solomon algebra;

D O I：

10.1016/S0166-8641(01)00041-4

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Fix a real hyperplane arrangement, and let F be the Milnor fibre of its complexified defining polynomial. We consider a filtration of the homology of F that arises from the algebraic monodromy, using integer or Z/pZ coefficients. We compare it with the cohomology of the Orlik-Solomon algebra, over Z or Z/pZ, respectively, with respect to a suitable "Koszul" boundary map, and find isomorphisms in certain cases. This continues work by various authors in comparing the cohomology of certain local systems on a hyperplane complement with that of the Orlik-Solomon algebra. (C) 2002 Elsevier Science B.V. All rights reserved.

引用

页码：45 / 63

页数：19