LEAF-WISE INTERSECTIONS AND RABINOWITZ FLOER HOMOLOGY

被引：50

作者：

Albers, Peter ^{[1
]}

Frauenfelder, Urs ^{[2
,3
]}

机构：

[1] Swiss Fed Inst Technol, Dept Math, Zurich, Switzerland

[2] Seoul Natl Univ, Dept Math, Seoul 151, South Korea

[3] Seoul Natl Univ, Res Inst Math, Seoul 151, South Korea

来源：

JOURNAL OF TOPOLOGY AND ANALYSIS | 2010年 / 2卷 / 01期

基金：

美国国家科学基金会;

关键词：

Leaf-wise intersections; Rabinowitz Floer homology; stretching the neck; local homology; FIXED-POINTS; MORSE-THEORY;

D O I：

10.1142/S1793525310000276

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we explain how critical points of a particular perturbation of the Rabinowitz action functional give rise to leaf-wise intersection points in hypersurfaces of restricted contact type. This is used to derive existence and multiplicity results for leaf-wise intersection points in hypersurfaces of restricted contact type in general exact symplectic manifolds. The notion of leaf-wise intersection points was introduced by Moser [16].

引用

页码：77 / 98

页数：22

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