Growth of homology torsion in finite coverings and hyperbolic volume

2014/12/24 by Thang T. Q. Lê, Le, Thang · 1 citation
Mathematics · #27M25 #FOS: Mathematics #Geometric Topology (math.GT) #Geometric and Algebraic Topology #Geometry and complex manifolds #Mathematical Dynamics and Fractals

paper · pdf · doi:10.48550/arxiv.1412.7758

openalex publication_date 2014/12/24 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We give an upper bound for the growth of homology torsions of finite coverings of irreducible 3-manifolds with tori boundary in terms of hyperbolic volume.

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• A remark on torsion growth in homology and volume of 3-manifolds

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