| The Cross-ratio Compactification of the Configuration Space of Ordered Points on |
| |
| 作者单位： | [1]Department of Mathematics, Graduate School of Humanities and Sciences, Nara Women＇s University, Nara 630-8506, Japan [2]Department of Mathematics, Faculty of Science, Nara Women＇s University, Nara 630-8506, Japan |
| |
| 基金项目： | The second author is partially supported by Grants-in-Aid for Scientific Research （C） （Grant No. 23540202） and Grant-in-Aids for Scientific Research （B） （Grant No. 20340030） |
| |
| 摘 要： | A natural compactification of the virtual configuration space of N points on the Riemann sphere is constructed by using cross-ratios. We show that this compactification is homeomorphic to the Bers' compactification of the virtual moduli space of a punctured Riemann sphere of type N . In particular, the system of global and explicit coordinates of this standard compactification is given by cross-ratios.
|
| 关 键 词： | 配置空间 点对 有序 紧致 交比 黎曼球 模空间 BER |
The cross-ratio compactification of the configuration space of ordered points on |
| |
| Authors: | Risako Funahashi Masahiko Taniguchi |
| |
| Institution: | 1. Department of Mathematics, Graduate School of Humanities and Sciences, Nara Women’s University, Nara, 630-8506, Japan
2. Department of Mathematics, Faculty of Science, Nara Women’s University, Nara, 630-8506, Japan
|
| |
| Abstract: | A natural compactification of the virtual configuration space of N points on the Riemann sphere  | |
| Keywords: | Cross-ratios configuration space planar domains with nodes |
| 本文献已被 CNKI 维普 SpringerLink 等数据库收录！ |
