English

Property P for Knots admitting Certain Gabai Disks

Geometric Topology 2007-05-23 v1

Abstract

We show that if a knot has a minimal spanning surface that admits certain Gabai disks, then this knot has Property P. As one of the applications we extend and simplify a recent result of Menasco and Zhang that closed 3-braid knots have Property P. Other applications are given.

Cite

@article{arxiv.math/0305426,
  title  = {Property P for Knots admitting Certain Gabai Disks},
  author = {Oliver T. Dasbach and Tao Li},
  journal= {arXiv preprint arXiv:math/0305426},
  year   = {2007}
}

Comments

17 pages, 12 figures

R2 v1 2026-07-22T16:54:58.044Z