Poisson cohomology in dimension two

被引：21
|
作者：
Monnier, P [1 ]
机构：
[1] Univ Montpellier 2, Dept Math, F-34095 Montpellier 5, France
来源：
ISRAEL JOURNAL OF MATHEMATICS | 2002年 / 129卷 / 1期
关键词：
Vector Field; Normal Form; Spectral Sequence; Poisson Structure; Poisson Manifold;
D O I：
10.1007/BF02773163
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
It, is known that the computation of the Poisson cohomology is closely related to the classification of singularities of Poisson structures. In this paper, we will first look for the normal forms of germs at (0,0) of Poisson structures on K-2 (K = R or C) and recall a result given by Arnold. Then we will compute locally the Poisson cohomology of a particular type of Poisson structure.
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页码：189 / 207
页数：19
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