Property P for Knots admitting Certain Gabai Disks

Details Property P for Knots admitting Certain Gabai Disks Property P for Knots admitting Certain Gabai Disks

2003-05-29

arxiv.org/abs/math/0305426v1

Mathematics

Geometric Topology

17 pages, 12 figures

Scientific paper

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.

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