Fixed points of non-Hamiltonian symplectomorphisms

被引:0
|
作者
Luisa D. Stelling
机构
[1] A.C. (CIMAT),Centro de Investigación en Matemáticas
来源
The Journal of Geometric Analysis | 2001年 / 11卷 / 4期
关键词
primary: 53D40; secondary: 58E05; Arnold conjecture; Floer homology; pseudo-holomorphic curves; fixed points;
D O I
10.1007/BF02930763
中图分类号
学科分类号
摘要
In this article we study a version of the Arnold conjecture for symplectic maps that are not Hamiltonian. That is, we give a lower bound for the number of fixed points such a map must have. We achieve the result for symplectic maps with sufficiently small Calabi invariant.
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页码:693 / 716
页数:23
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