Exponential Torsion Growth for Random 3-Manifolds

DOI10.1093/imrn/rnx076zbMath1448.57026arXiv1607.00631OpenAlexW2963728614WikidataQ115538891 ScholiaQ115538891MaRDI QIDQ4619467

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

Publication date: 6 February 2019

Published in: International Mathematics Research Notices (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1607.00631

zbMATH Keywords

Heegard genushomology torsion growthrandom \(3\)-manifold

Mathematics Subject Classification ID

Sums of independent random variables; random walks (60G50) Covering spaces and low-dimensional topology (57M10) PV-numbers and generalizations; other special algebraic numbers; Mahler measure (11R06) Simple homotopy type, Whitehead torsion, Reidemeister-Franz torsion, etc. (57Q10) Probability measures on groups or semigroups, Fourier transforms, factorization (60B15)

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A lower bound on the average genus of a 2-bridge knot ⋮ Random colorings in manifolds ⋮ Statistics of finite degree covers of torus knot complements ⋮ A model for random three-manifolds

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