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Knots which behave like the prime numbers

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Publication:2852238
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DOI10.1112/S0010437X13007173zbMath1322.11119OpenAlexW2134045173MaRDI QIDQ2852238

Curtis T. McMullen

Publication date: 8 October 2013

Published in: Compositio Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1112/s0010437x13007173


zbMATH Keywords

primesknots3-manifoldsChebotarev density


Mathematics Subject Classification ID

Uniformly hyperbolic systems (expanding, Anosov, Axiom A, etc.) (37D20) Density theorems (11R45)


Related Items (5)

Idèlic class field theory for 3-manifolds and very admissible links ⋮ Chebotarev links are stably generic ⋮ Olympic links in a Chebotarev link ⋮ A Hilbert reciprocity law on 3-manifolds ⋮ Modular knots, automorphic forms, and the Rademacher symbols for triangle groups



Cites Work

  • Knots, links, and symbolic dynamics
  • Dynamical systems and the homology norm of a 3-manifold. I: Efficient intersection of surfaces and flows
  • Closed orbits in homology classes for Anosov flows
  • Finding meaning in error terms
  • Geometrical Markov coding of geodesics on surfaces of constant negative curvature
  • Symbolic Dynamics for Hyperbolic Flows


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