Title

Property P for knots admitting certain Gabai disks

Document Type

Article

Publication Date

7-28-2004

Abstract

We show that if a knot has a minimal spanning surface that admits certain Gabai disks, then a manifold obtained by ±1-Dehn surgery along the knot has infinite fundamental group. 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. © 2004 Elsevier B.V. All rights reserved.

Publication Source (Journal or Book title)

Topology and its Applications

First Page

113

Last Page

129

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