Quasi-states and symplectic intersections
Quasi-states and symplectic intersections
复制标题
准态和辛交集
DOI：
10.4171/cmh/43
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发表时间：
2004
影响因子：
0.9
通讯作者：
L. Polterovich
中科院分区：
文献类型：
--
作者：
Michael Entov;L. Polterovich
我们在辛拓扑和最近出现的泛函分析分支（称为准状态和准测度理论（也称为拓扑测度））之间建立了联系。在辛背景下，准态可以被视为包装 Floer 理论中包含的某些信息的代数方式，特别是由 Yong-Geun Oh 最近引入的哈密顿微分同胚的谱不变量。因此，我们证明了辛流形中相交刚性的许多新结果。这项工作是与 Paul Biran 联合项目的一部分。
We establish a link between symplectic topology and a recently emerg\-ed branch of functional analysis called the theory of quasi-states and quasi-measures (also known as topological measures). In the symplectic context quasi-states can be viewed as an algebraic way of packaging certain information contained in Floer theory, and in particular in spectral invariants of Hamiltonian diffeomorphisms introduced recently by Yong-Geun Oh. As a consequence we prove a number of new results on rigidity of intersections in symplectic manifolds. This work is a part of a joint project with Paul Biran.