Generalized unknotting operations and tangle decompositions
Proc. Amer. Math. Soc. 105 (1989), 471-478
Primary 57M25; Secondary 57N10
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Abstract: Suppose that a knot in is obtained from a knot by an -parallel (-antiparallel resp.) crossing change. Let be an incompressible, -incompressible surface properly embedded in with a union of meridian loops and , for some . We show that either is isotoped to intersect in points, or there is a minimal genus Seifert surface for intersecting the corresponding crossing link in two ( resp.) points.
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