A FLOER HOMOLOGY FOR EXACT CONTACT EMBEDDINGS

被引：83

作者：

Cieliebak, Kai ^{[1
]}

Frauenfelder, Urs Adrian ^{[1
]}

机构：

[1] Univ Munich, Dept Math, D-80333 Munich, Bavaria, Germany

来源：

PACIFIC JOURNAL OF MATHEMATICS | 2009年 / 239卷 / 02期

关键词：

contact manifolds; Floer homology; Rabinowitz action functional; MASLOV INDEX; MORSE-THEORY; HAMILTONIAN-SYSTEMS; SYMPLECTIC HOMOLOGY; PERIODIC-SOLUTIONS; PATH-INTEGRALS; CONJECTURE; MANIFOLDS; INTERSECTIONS; COMPLEX;

D O I：

10.2140/pjm.2009.239.251

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we construct the Floer homology for an action functional which was introduced by Rabinowitz and prove a vanishing theorem. As an application, we show that there are no displaceable exact contact embeddings of the unit cotangent bundle of a sphere of dimension greater than three into a convex exact symplectic manifold with vanishing first Chern class. This generalizes Gromov's result that there are no exact Lagrangian embeddings of a sphere into C(n).

引用

页码：251 / 316

页数：66

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