Volume and Determinant Densities of Hyperbolic Rational Links

@article{Adams2015VolumeAD,
  title={Volume and Determinant Densities of Hyperbolic Rational Links},
  author={C. Adams and A. Calder{\'o}n and Xinyi Jiang and A. Kastner and Gregory Kehne and N. Mayer and M. Smith},
  journal={arXiv: Geometric Topology},
  year={2015}
}
  • C. Adams, A. Calderón, +4 authors M. Smith
  • Published 2015
  • Mathematics
  • arXiv: Geometric Topology
  • The volume density of a hyperbolic link is defined as the ratio of hyperbolic volume to crossing number. We study its properties and a closely-related invariant called the determinant density. It is known that the sets of volume densities and determinant densities of links are dense in the interval [0,v_{oct}]. We construct sequences of alternating knots whose volume and determinant densities both converge to any x in [0,v_{oct}]. We also investigate the distributions of volume and determinant… CONTINUE READING

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