A cocycle on the group of symplectic diffeomorphisms

被引：3

作者：

Gal, Swiatoslaw R. ^{[1
]}

Kedra, Jarek ^{[2
,3
]}

机构：

[1] Uniwersytet Wroclawski, Inst Matemat, Wroclaw, Poland

[2] Univ Aberdeen, Aberdeen AB243UE, Scotland

[3] Univ Szczecin, Inst Math, PL-70451 Szczecin, Poland

来源：

ADVANCES IN GEOMETRY | 2011年 / 11卷 / 01期

关键词：

Symplectic manifold; group action; discrete group; ASPHERICAL MANIFOLDS; FUNDAMENTAL-GROUPS;

D O I：

10.1515/ADVGEOM.2010.039

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We define a cocycle on the group of Hamiltonian diffeomorphisms of a symplectically aspherical manifold and investigate its properties. The main application is an alternative proof of the Polterovich theorem about the distortion of cyclic subgroups in finitely generated groups of Hamiltonian diffeomorphisms.

引用

页码：73 / 88

页数：16

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