Property P for Knots admitting
Certain Gabai Disks

Topology and its Applications, Vol 142 (2004), No. 1-3, pp 113-129

Oliver T. Dasbach, Tao Li

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.


Keywords:

Property P, Casson Invariant, Essential Laminations, 3-braid knots


arXiv:math/0305426: pdf