Thurston’s spinning construction and solutions to the hyperbolic gluing equations for closed hyperbolic 3–manifolds
Thurston’s spinning construction and solutions to the hyperbolic gluing equations for closed hyperbolic 3–manifolds
We show that the hyperbolic structure on a closed, orientable, hyperbolic 3âmanifold can be constructed from a solution to the hyperbolic gluing equations using any triangulation with essential edges. The key ingredients in the proof are Thurstonâs spinning construction and a volume rigidity result attributed by Dunfield to Thurston, Gromov …