Examples of homological torsion and volume growth
arXiv:1901.07494 · doi:10.1007/s40306-020-00412-z
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.
Added reference, minor corrections, 7 pages