Examples of homological torsion and volume growth
Geometric Topology
2021-05-21 v2
Abstract
We provide examples of towers of covers of cusped hyperbolic 3-manifolds whose exponential homological torsion growth is explicitly computed in terms of volume growth. These examples arise from abelian covers of alternating links in the thickened torus. A corollary is that the spanning tree entropy for each regular planar lattice is given by the volume of a hyperbolic polyhedron.
Keywords
Cite
@article{arxiv.1901.07494,
title = {Examples of homological torsion and volume growth},
author = {Abhijit Champanerkar and Ilya Kofman},
journal= {arXiv preprint arXiv:1901.07494},
year = {2021}
}
Comments
Added reference, minor corrections, 7 pages