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math.GT1999
Lower bounds on volumes of hyperbolic Haken 3-manifolds
Ian Agol
In this paper, we find lower bounds for volumes of hyperbolic 3-manifolds with various topological conditions. Let V_3 = 1.01494 denote the volume of a regular ideal simplex in hyp…
math.GT1999
The size of spanning disks for polygonal curves
Joel Hass, Jack Snoeyink, William P. Thurston
Let be a closed polygonal curve in $\RR^3$ consisting of line segments. Assume that is unknotted, so that it is the boundary of an embedded disk in $\RR^3$. This paper…