Combinatorial optimization in geometry
classification
🧮 math.GT
math-phmath.DGmath.MPmath.OC
keywords
combinatorialstructurescellsconecorrespondsdecompositiondelaunaydescribe
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We study the moduli space of euclidean structures with cone points on a surface, and describe a decomposition into cells each of which corresponds to a given combinatorial type of Delaunay tessellation. We use some of the ideas to study hyperbolic structures on three-dimensional manifolds
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