FLOER HOMOLOGY FOR SYMPLECTOMORPHISM

被引：3

作者：

Her, Hai-Long ^{[1
]}

机构：

[1] Nanjing Normal Univ, Sch Math Sci, Nanjing 210046, Peoples R China

来源：

COMMUNICATIONS IN CONTEMPORARY MATHEMATICS | 2009年 / 11卷 / 06期

关键词：

Floer homology; symplectomorphism; moduli space; virtual cycle; ARNOLD CONJECTURE; MORSE-THEORY;

D O I：

10.1142/S0219199709003612

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let (M, omega) be a compact symplectic manifold, and phi be a symplectic diffeomorphism on M, we define a Floer-type homology FH*(phi) which is a generalization of Floer homology for symplectic fixed points defined by Dostoglou and Salamon for monotone symplectic manifolds. These homology groups are modules over a suitable Novikov ring and depend only on phi up to a Hamiltonian isotopy.

引用

页码：895 / 936

页数：42

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