CENTRAL EXTENSIONS OF GROUPS OF SYMPLECTOMORPHISMS

被引：1

作者：

Neretin, Yuri A. ^{[1
,2
]}

机构：

[1] Inst Theoret & Expt Phys, Math Phys Grp, Moscow 117259, Russia

[2] Univ Vienna, Dept Math, A-1090 Vienna, Austria

来源：

MOSCOW MATHEMATICAL JOURNAL | 2006年 / 6卷 / 04期

基金：

奥地利科学基金会;

关键词：

Central extensions; symplectomorphisms; mapping class groups; Teichmuller group; Dehn twist; Calabi invariant; flux homornorphisrn;

D O I：

10.17323/1609-4514-2006-6-4-703-729

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We construct canonically defined central extensions of groups of symplectomorphisms. We show that these central extensions are nontrivial for tori of dimension >= 6 and for two-dimensional surfaces of genus >= 3.

引用

页码：703 / 729

页数：27

共 26 条

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