Examples of homological torsion and volume growth

Abhijit Champanerkar; Ilya Kofman

doi:10.1007/s40306-020-00412-z

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arXiv · 1901.07494

Examples of homological torsion and volume growth

Abhijit Champanerkar·Ilya Kofman

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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.

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Abhijit Champanerkar, Ilya Kofman. 2019-01-22. Examples of homological torsion and volume growth. https://doi.org/10.1007/s40306-020-00412-z

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