English

Periodic orbits of a dynamical system related to a knot

Geometric Topology 2009-06-17 v1 Dynamical Systems

Abstract

We consider the space of all representations of the commutator subgroup of a knot group into Z/p, p is prime. As proven by D. Silver and S. Williams, this space can be completely described by a finite oriented graph. We describe the lengths of cycles in this graph.

Keywords

Cite

@article{arxiv.0906.2790,
  title  = {Periodic orbits of a dynamical system related to a knot},
  author = {Lilya Lyubich},
  journal= {arXiv preprint arXiv:0906.2790},
  year   = {2009}
}

Comments

13 pages

R2 v1 2026-06-21T13:13:44.781Z