Haraway, Robert Cyrus. “Dehn paternity bounds and hyperbolicity tests”, Boston College, 2015. http://hdl.handle.net/2345/bc-ir:104228.
Abstract
Recent advances in normal surface algorithms enable the determination by computer of the hyperbolicity of compact orientable 3-manifolds with zero Euler characteristic and nonempty boundary. Recent advances in hyperbolic geometry enable the determination by computer of the Dehn paternity relation between two orientable compact hyperbolic 3-manifolds. Presented here is an exposition of these developments, along with prototype implementations of one of these determinations in software. These have applications to two questions about Mom technology.
