A cohomology attached to a function

被引：5

作者：

Monnier, P ^{[1
]}

机构：

[1] Univ Tecn Lisboa, Dept Matemat, Inst Super Tecn, P-1049001 Lisbon, Portugal

来源：

DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS | 2005年 / 22卷 / 01期

关键词：

differential forms; Poisson cohomology; lie algebroids; singularities;

D O I：

10.1016/j.difgeo.2004.07.005

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we study a certain cohomology attached to a smooth function, which arose naturally in Poisson geometry. We explain how this cohomology depends on the function, and we prove that it satisfies both the excision and the Mayer-Vietoris axioms. For a regular function we show that the cohomology is related to the de Rham cohomology. Finally, we use it to give a new proof of a well-known result of A. Dimca [Compositio Math. 76 (1990) 19-47] in complex analytic geometry. (C) 2004 Elsevier B.V. All rights reserved.

引用

页码：49 / 68

页数：20

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