THE FLUX HOMOMORPHISM AND CENTRAL EXTENSIONS OF DIFFEOMORPHISM GROUPS

被引：0

作者：

Maruyama, Shuhei ^{[1
]}

机构：

[1] Nagoya Univ, Grad Sch Math, Nagoya, Aichi, Japan

来源：

OSAKA JOURNAL OF MATHEMATICS | 2021年 / 58卷 / 02期

关键词：

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let D be a closed unit disk in dimension two and G(rel) the group of symplectomorphisms on D preserving the origin and the boundary partial derivative D pointwise. We consider the flux homomorphism on G(rel) and construct a central R-extension called the flux extension. We determine the Euler class of this extension and investigate the relation among the extension, the group 2-cocycle defined by Ismagilov, Losik, and Michor, and the Calabi invariant of D.

引用

页码：319 / 329

页数：11