Symplectic toric space associated to triangle inequalities
type: Item
instance of: scholarly article
title: Symplectic toric space associated to triangle inequalities
zbMATH Open document ID: 1039.53095
DOI: 10.1023/A:1020393910472
author: Yasuhiko Kamiyama
author: Takahiko Yoshida
published in: Geometriae Dedicata
publication date: 2002-12-15T00:00:00Z
review text: The authors obtain a singular symplectic toric manifold with a convex polytope \(\Delta_n\) as the image of a moment map. \(\Delta_n\) is defined, using a symplectic structure on the moduli space of spatial polygons with \(n\) edges, \(M_n\), and a \(T^{n-3}\)-action on an open dense subset of \(M_n\). Moreover, for \(n=4,5,6,7,\) topological properties (Euler characteristic and virtual Poincaré polynomial) of this singular symplectic toric manifold are studied.
Mathematics Subject Classification ID: 53D30
Mathematics Subject Classification ID: 58D29
Mathematics Subject Classification ID: 53D20
zbMATH DE Number: 1845444
zbMATH Keywords: convex polytope
zbMATH Keywords: Hamiltonian torus actions
zbMATH Keywords: spatial polygon
reviewed by: Edith Padrón
MaRDI profile type: Publication
full work available at URL: a:1020393910472
OpenAlex ID: W198262531
description: scientific article; zbMATH DE number 1845444