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 Δ n in ℝ n−3. In this paper, from M n , we construct a singular symplectic toric manifold with Δ n as the image of the moment map.

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