Configuration Spaces of Points on the Circle and Hyperbolic Dehn Fillings, II (Dedicated to Professor Mitsuyoshi Kato on his 60th birthday)/atl> |
| |
| Authors: | Yasushi Yamashita Haruko Nishi Sadayoshi Kojima |
| |
| Institution: | (1) Department of Information and Computer Sciences, Nara Women's University, Kita-Uoya Nishimachi, Nara, 630-8506, Japan;(2) Department of Mathematics, Kyushu University, 33, Fukuoka, 812-8581, Japan;(3) Department of Mathematical and Computing Sciences, Tokyo Institute of Technology, Ohokayama, Meguro, Tokyo, 152-8552, Japan |
| |
| Abstract: | In our previous paper (Topology
38 (1999), 497–516), we discussed the hyperbolization of the configuration space of n ( 5) marked points with weights in the projective line up to projective transformations. A variation of the weights induces a deformation. It was shown that this correspondence of the set of the weights to the Teichmüller space when n = 5 and to the Dehn filling space when n = 6 is locally one-to-one near the equal weight. In this paper, we establish its global injectivity. |
| |
| Keywords: | hyperbolic cone-manifold configuration space |
| 本文献已被 SpringerLink 等数据库收录！ |
|
