Differentiable structure of ω-subsets of symplectic groups

被引：0
|
作者：
Yiming Long
Chaofeng Zhu
机构：
[1] Nankai University,Nankai Institute of Mathematics
[2] Ministry of Education,Key Laboratory of Pure Mathematics and Combinatorics
来源：
Science in China Series A: Mathematics | 2001年 / 44卷
关键词：
symplectic group; ω-subset; stratification; differentiable structure; transversal structure;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper, we study the differentiable structure of the ω-subset of Sp(2n), which is formed by all matrices in Sp(2n) possessing ω as an eigenvalue, for ω on the unit circle in the complex plane. Based on this result the ω -index theory parametrized by all ω on the unit circle for arbitrary symplectic paths is defined.
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页码：545 / 554
页数：9
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