Exponential Torsion Growth for Random 3-Manifolds

Hyungryul Baik; David Bauer; Ilya Gekhtman; Ursula Hamenstädt; Sebastian Hensel; Thorben Kastenholz; Bram Petri; Daniel Valenzuela

Exponential Torsion Growth for Random 3-Manifolds

Geometric Topology 2017-03-21 v3

Authors: Hyungryul Baik , David Bauer , Ilya Gekhtman , Ursula Hamenstädt , Sebastian Hensel , Thorben Kastenholz , Bram Petri , Daniel Valenzuela

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Abstract

We show that a random 3-manifold with positive first Betti number admits a tower of cyclic covers with exponential torsion growth.

Cite

@article{arxiv.1607.00631,
  title  = {Exponential Torsion Growth for Random 3-Manifolds},
  author = {Hyungryul Baik and David Bauer and Ilya Gekhtman and Ursula Hamenstädt and Sebastian Hensel and Thorben Kastenholz and Bram Petri and Daniel Valenzuela},
  journal= {arXiv preprint arXiv:1607.00631},
  year   = {2017}
}