English

Knots with unique minimal genus Seifert surface and depth of knots

Geometric Topology 2007-05-23 v2

Abstract

We describe a procedure for creating infinite families of hyperbolic knots having unique minimal genus Seifert surface. A large subset of these knots have the further property that the surface cannot be the sole compact leaf of a depth one foliation of the knot exterior.

Keywords

Cite

@article{arxiv.math/0209138,
  title  = {Knots with unique minimal genus Seifert surface and depth of knots},
  author = {Mark Brittenham},
  journal= {arXiv preprint arXiv:math/0209138},
  year   = {2007}
}

Comments

19 pages, 17 figures. Minor revisions to the original submission