Quasi-morphisms and Symplectic Quasi-states for Convex Symplectic Manifolds

被引：13

作者：

Lanzat, Sergei ^{[1
]}

机构：

[1] Technion Israel Inst Technol, Dept Math, IL-32000 Haifa, Israel

来源：

INTERNATIONAL MATHEMATICS RESEARCH NOTICES | 2013年 / 2013卷 / 23期

关键词：

HAMILTONIAN-DYNAMICS; SPECTRAL INVARIANTS; POISSON BRACKETS; FLOER THEORY; DIFFEOMORPHISMS; TOPOLOGY; RIGIDITY; HOMOLOGY; GEOMETRY; ENERGY;

D O I：

10.1093/imrn/rns205

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We use quantum and Floer homology to construct (partial) quasi-morphisms on the universal cover (Ham) over tilde (c)(M, omega) of the group of compactly supported Hamiltonian diffeomorphisms for a certain class of nonclosed strongly semi-positive symplectic manifolds (M, omega). This leads to a construction of (partial) symplectic quasi-states on the space C-cc(M) of continuous functions on M that are constant near infinity. The work extends the results by Entov and Polterovich which apply in the closed case.

引用

页码：5321 / 5365

页数：45

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