Lower Bounds on Volumes of Hyperbolic 3-Manifolds via Decomposition
Geometric Topology
2021-11-12 v1
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.
Keywords
Cite
@article{arxiv.2111.06319,
title = {Lower Bounds on Volumes of Hyperbolic 3-Manifolds via Decomposition},
author = {Colin Adams and Michele Capovilla-Searle and Darin Li and Lily Qiao Li and Jacob McErlean and Alexander Simons and Natalie Stewart and Xiwen Wang},
journal= {arXiv preprint arXiv:2111.06319},
year = {2021}
}
Comments
45 pages, 19 figures