Exponential torsion growth for random 3-manifolds

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

doi:10.1093/imrn/rnx076

Exponential torsion growth for random 3-manifolds

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

Research output: Contribution to journal › Article › peer-review

Abstract

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

Original language	English
Pages (from-to)	6497-6534
Number of pages	38
Journal	International Mathematics Research Notices
Volume	2018
Issue number	21
DOIs	https://doi.org/10.1093/imrn/rnx076
State	Published - 5 Nov 2018
Externally published	Yes

All Science Journal Classification (ASJC) codes

General Mathematics

Access to Document

10.1093/imrn/rnx076

Cite this

@article{77e58dadc8374702b5188f44e0718305,

title = "Exponential torsion growth for random 3-manifolds",

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

author = "Hyungryul Baik and David Bauer and Ilya Gekhtman and Ursula Hamenst{\"a}dt and Sebastian Hensel and Thorben Kastenholz and Bram Petri and Daniel Valenzuela",

year = "2018",

month = nov,

day = "5",

doi = "10.1093/imrn/rnx076",

language = "الإنجليزيّة",

volume = "2018",

pages = "6497--6534",

journal = "International Mathematics Research Notices",

issn = "1073-7928",

publisher = "Oxford University Press",

number = "21",

}

TY - JOUR

T1 - Exponential torsion growth for random 3-manifolds

AU - Baik, Hyungryul

AU - Bauer, David

AU - Gekhtman, Ilya

AU - Hamenstädt, Ursula

AU - Hensel, Sebastian

AU - Kastenholz, Thorben

AU - Petri, Bram

AU - Valenzuela, Daniel

PY - 2018/11/5

Y1 - 2018/11/5

N2 - We show that a random 3-manifold with positive first Betti number admits a tower of cyclic covers with exponential torsion growth.

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

UR - http://www.scopus.com/inward/record.url?scp=85057366015&partnerID=8YFLogxK

U2 - 10.1093/imrn/rnx076

DO - 10.1093/imrn/rnx076

M3 - مقالة

SN - 1073-7928

VL - 2018

SP - 6497

EP - 6534

JO - International Mathematics Research Notices

JF - International Mathematics Research Notices

IS - 21

ER -

Exponential torsion growth for random 3-manifolds

Abstract

All Science Journal Classification (ASJC) codes

Access to Document

Other files and links

Fingerprint

Cite this