Combinatorial negative curvature and triangulations of three-manifolds
classification
🧮 math.GR
keywords
combinatorialtriangulationsapplicationsapplycomplexconditionscovercurvature
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We introduce and study local combinatorial conditions on a simplicial complex, implying Gromov hyperbolicity of its universal cover. We apply the theory to Thurston's problem on 5/6*-triangulations of 3-manifolds, providing a new proof and generalizing the original result. We indicate further applications.
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