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
收藏
页码：251 / 316
页数：66
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