首页 | 本学科首页   官方微博 | 高级检索  
     


Torus actions on symplectic orbi-spaces
Authors:Tanya Schmah
Affiliation:Département de Mathématiques, École Polytechnique Fédérale de Lausanne, CH-1015 Lausanne, Switzerland
Abstract:

Which $2n$-dimensional orbi-spaces have effective symplectic $k$- torus actions? As shown by Lerman and Tolman (1997) and Watson (1997), this question reduces to that of characterizing the finite subgroups of centralizers of tori in the real symplectic group $Sp(2n, mathbb{R})$. We resolve this question, and generalize our method to a calculation of the centralizers of all tori in $Sp(2n,mathbb{R})$.

Keywords:Symplectic orbifolds   Hamiltonian torus actions   centralizers of tori
点击此处可从《Proceedings of the American Mathematical Society》浏览原始摘要信息
点击此处可从《Proceedings of the American Mathematical Society》下载全文
设为首页 | 免责声明 | 关于勤云 | 加入收藏

Copyright©北京勤云科技发展有限公司  京ICP备09084417号