On the monodromy action on Milnor fibers of graphic arrangements

被引：22

作者：

Macinic, Anca Danielal ^{[1
]}

Papadima, Stefan ^{[1
]}

机构：

[1] Inst Math Simion Stoilow, RO-014700 Bucharest, Romania

来源：

TOPOLOGY AND ITS APPLICATIONS | 2009年 / 156卷 / 04期

关键词：

Coxeter arrangement; Milnor fiber; Monodromy; Twisted homology; Aomoto complex; ORLIK-SOLOMON ALGEBRAS; LOCAL SYSTEMS; COMPLEMENTS; COHOMOLOGY; HYPERPLANES; THEOREM;

D O I：

10.1016/j.topol.2008.09.014

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We analyze the monodromy action, over the rationals, on the first homology group of the Milnor fiber, for arbitrary subarrangements of Coxeter arrangements. We propose a combinatorial formula for the monodromy action, involving Aomoto complexes in positive characteristic. We verify the formula, in cases A, B and D. (C) 2008 Elsevier B.V. All rights reserved.

引用

页码：761 / 774

页数：14

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