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Bound on the distance from points to the boundary of a hyperbolic surface

Fix $\epsilon\in\mathbb{R}_{>0}$, $\Sigma$ a surface with boundary and let $\mathcal{T}_{\Sigma}(L_{1},...,L_{n})$ denote the Teichmüller space of hyperbolic structures of $\Sigma$ with geodesic bound …
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Bloch group, hyperbolic manifolds and rigidity

In answer to question 3 it is not possible to go from an element of the Bloch group to a hyperbolic manifold as there are different three manifolds with the same element in the Bloch group. That is di …
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