Symplectic Toric Space Associated to Triangle Inequalities |
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Authors: | Yasuhiko Kamiyama Takahiko Yoshida |
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Affiliation: | (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 |
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Abstract: | Let Mn be the moduli space of spatial polygons with n edges. An open dense subset of Mn admits a Tn–3 -action, although this action does not extend to Mn. The action together with a symplectic structure on Mn naturally defines a convex polytope n in n–3. In this paper, from Mn, we construct a singular symplectic toric manifold with n as the image of the moment map. |
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Keywords: | Convex polytope hamiltonian torus actions spatial polygon |
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