Volumes of double twist knot cone-manifolds

Anh T. Tran

Volumes of double twist knot cone-manifolds

Geometric Topology 2015-12-29 v1

Authors: Anh T. Tran

Abstract

We give explicit formulae for the volumes of hyperbolic cone-manifolds of double twist knots, a class of two-bridge knots which includes twist knots and two-bridge knots with Conway notation $C(2n,3)$ . We also study the Riley polynomial of a class of one-relator groups which includes two-bridge knot groups.

Keywords

double twist knot cone-manifold hyperbolic volume two-bridge knot Riley polynomial one-relator group

Cite

@article{arxiv.1512.08165,
  title  = {Volumes of double twist knot cone-manifolds},
  author = {Anh T. Tran},
  journal= {arXiv preprint arXiv:1512.08165},
  year   = {2015}
}

Comments

11 pages, 1 figure

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