The 500 simplest hyperbolic knots

@article{Champanerkar2013The5S,
  title={The 500 simplest hyperbolic knots},
  author={Abhijit Champanerkar and I. Kofman and T. Mullen},
  journal={arXiv: Geometric Topology},
  year={2013}
}
  • Abhijit Champanerkar, I. Kofman, T. Mullen
  • Published 2013
  • Mathematics
  • arXiv: Geometric Topology
  • We identify all hyperbolic knots whose complements are in the census of orientable one-cusped hyperbolic manifolds with eight ideal tetrahedra. We also compute their Jones polynomials. 

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    References

    Publications referenced by this paper.
    SHOWING 1-10 OF 11 REFERENCES
    Knots and Links
    • 1,768
    • PDF
    The next simplest hyperbolic knots
    • 27
    • PDF
    Word hyperbolic Dehn surgery
    • 162
    • PDF
    THE SIMPLEST HYPERBOLIC KNOTS
    • 53
    • Highly Influential
    Waist size for cusps in hyperbolic 3-manifolds
    • 34
    The maximal number of exceptional Dehn surgeries
    • 52
    • PDF
    The first 1,701,936 knots
    • 210
    A new twist on Lorenz links
    • 33
    • PDF