Property P for Knots admitting Certain Gabai Disks
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.
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