Lower Bounds on Volumes of Hyperbolic 3-Manifolds via Decomposition
arXiv:2111.06319
Abstract
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 hyperbolic and its volume is bounded below by the sum of the appropriately defined hyperbolic volumes of the pieces. A variety of examples of appropriately hyperbolic pieces and volumes are provided, with many examples from link complements in the 3-sphere.
45 pages, 19 figures