Generalized unknotting operations and tangle decompositions
Author: Tsuyoshi Kobayashi
Journal: Proc. Amer. Math. Soc. 105 (1989), 471-478
MSC: Primary 57M25; Secondary 57N10
MathSciNet review: 977926
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.
Keywords: Knot, unknotting operation, tangle, sutured manifold
Article copyright: © Copyright 1989 American Mathematical Society