Exponential growth of torsion in abelian coverings
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Publication:441079
DOI10.2140/agt.2012.12.1331zbMath1250.57004arXiv1012.3666OpenAlexW1978862460MaRDI QIDQ441079
Publication date: 20 August 2012
Published in: Algebraic \& Geometric Topology (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1012.3666
Covering spaces and low-dimensional topology (57M10) Simple homotopy type, Whitehead torsion, Reidemeister-Franz torsion, etc. (57Q10)
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Cites Work
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- Homology torsion growth and Mahler measure
- Mahler measure, links and homology growth
- Dynamics of twisted Alexander invariants
- A problem of Boyd concerning geometric means of polynomials
- Heights of polynomials and entropy in algebraic dynamics
- Approximating \(L^ 2\)-invariants by their finite-dimensional analogues
- Growth of Betti numbers
- Torsion numbers of augmented groups with applications to knots and links.
- The cobordism group of homology cylinders
- The limit of $\mathbb{F}_{p}$-Betti numbers of a tower of finite covers with amenable fundamental groups
- Growth of order of Homology of Cyclic Branched Covers of Knots
- Torsion-Groups of Abelian Coverings of Links
- Mayberry-Murasugi’s formula for links in homology 3-spheres
- The asymptotic growth of torsion homology for arithmetic groups
- Knots Whose Branched Cyclic Coverings have Periodic Homology
- Dynamical systems of algebraic origin
