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Knots which behave like the prime numbers

Part of: Low-dimensional topology Multiplicative number theory Dynamical systems with hyperbolic behavior

Published online by Cambridge University Press:  10 July 2013

Curtis T. McMullen
Curtis T. McMullen*
Affiliation:
Department of Mathematics, Harvard University, 1 Oxford Street, Cambridge, MA 02138, USA
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Abstract

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This paper establishes a version of the Chebotarev density theorem in which number fields are replaced by 3-manifolds.

MSC classification

Secondary: 11N05: Distribution of primes 37D20: Uniformly hyperbolic systems (expanding, Anosov, Axiom A, etc.) 57M25: Knots and links in $S^3$
Type
Research Article
Information
Compositio Mathematica , Volume 149 , Issue 8 , August 2013 , pp. 1235 - 1244
Copyright
© The Author(s) 2013 

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