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math.GT2021
Lower Bounds on Volumes of Hyperbolic 3-Manifolds via Decomposition
Colin Adams, Michele Capovilla-Searle, Darin Li +5
In a variety of settings we provide a method for decomposing a 3-manifold into pieces. When the pieces have the appropriate type of hyperbolicity, then the manifold is hype…
math.GT2021
TG-Hyperbolicity of Composition of Virtual Knots
Colin Adams, Alexander Simons
The composition of any two nontrivial classical knots is a satellite knot, and thus, by work of Thurston, is not hyperbolic. In this paper, we explore the composition of virtual kn…
math.GT2021★ 3 cited
Generalized Augmented Cellular Alternating Links in Thickened Surfaces are Hyperbolic
Colin Adams, Michele Capovilla-Searle, Darin Li +5
Menasco proved that nontrivial links in the 3-sphere with connected prime alternating non-2-braid projections are hyperbolic. This was further extended to augmented alternating lin…