English

Hyperbolic Knots

Geometric Topology 2009-09-29 v1

Abstract

In 1978, W. Thurston revolutionized low diemsional topology with his work on hyperbolic 3-manifolds. In this paper, we discuss what is currently known about knots in the 3-sphere with hyperbolic complements. Then focus is on geometric invariants coming out of the hyperbolic structures. This is one of a collection of articles to appear in the Handbook of Knot Theory.

Keywords

Cite

@article{arxiv.math/0309466,
  title  = {Hyperbolic Knots},
  author = {Colin Adams},
  journal= {arXiv preprint arXiv:math/0309466},
  year   = {2009}
}

Comments

16 pages, 12 figures