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Nonminimal bridge positions of torus knots are stabilized
Published online by Cambridge University Press: 04 May 2011
Abstract
We show that any nonminimal bridge decomposition of a torus knot is stabilized and that n-bridge decompositions of a torus knot are unique for any integer n. This implies that a knot in a bridge position is a torus knot if and only if there exists a torus containing the knot such that it intersects the bridge sphere in two essential loops.
- Type
- Research Article
- Information
- Mathematical Proceedings of the Cambridge Philosophical Society , Volume 151 , Issue 2 , September 2011 , pp. 307 - 317
- Copyright
- Copyright © Cambridge Philosophical Society 2011
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