Symplectic Toric Space Associated to Triangle Inequalities |
| |
| Authors: | Yasuhiko Kamiyama Takahiko Yoshida |
| |
| Institution: | (1) Department of Mathematics, University of the Ryukyus, Nishihara-Cho, Okinawa, 903-0213, Japan;(2) Graduate School of Mathematical Sciences, University of Tokyo, 3-8-1 Komaba, Meguro-ku, Tokyo, 153-8914, Japan |
| |
| Abstract: | Let M
n
be the moduli space of spatial polygons with n edges. An open dense subset of M
n
admits a T
n–3 -action, although this action does not extend to M
n
. The action together with a symplectic structure on M
n
naturally defines a convex polytope 
n
in 
n–3. In this paper, from M
n
, we construct a singular symplectic toric manifold with
n
as the image of the moment map. |
| |
| Keywords: | Convex polytope hamiltonian torus actions spatial polygon |
| 本文献已被 SpringerLink 等数据库收录！ |
|
