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Gluing equations for real projective structures on 3-manifolds
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Gluing equations for real projective structures on 3-manifolds
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Gluing equations for real projective structures on 3-manifolds
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Journal Article
Gluing equations for real projective structures on 3-manifolds
2021
Overview
Given an orientable ideally triangulated 3-manifold M, we define a system of real valued equations and inequalities whose solutions can be used to construct projective structures on M. These equations represent a unifying framework for the classical Thurston gluing equations in hyperbolic geometry and their more recent counterparts in Anti-de Sitter and half-pipe geometry. Moreover, these equations can be used to detect properly convex structures on M. The paper also includes explicit examples where the equations are used to construct properly convex structures.
Publisher
Springer Nature B.V
Subject
