Exponential torsion growth for random 3-manifolds

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

doi:10.1093/imrn/rnx076

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Exponential torsion growth for random 3-manifolds

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Petri, Bram
Max Planck Institute for Mathematics, Max Planck Society;

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https://doi.org/10.1093/imrn/rnx076
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Baik-Bauer-Gekhtman-Hamenstädt-Hensel_Kastenholz-Petri-Valenzuela_Exponential torsion growth for random 3-manifolds_oa_2018.pdf
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Citation

Baik, H., Bauer, D., Gekhtman, I., Hamenstädt, U., Hensel, S., Kastenholz, T., et al. (2018). Exponential torsion growth for random 3-manifolds. International Mathematics Research Notices, 2019(21), 6497-6534. doi:10.1093/imrn/rnx076.

Cite as: https://hdl.handle.net/21.11116/0000-0004-4318-6

Abstract

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