Journal article
Flipping bridge surfaces and bounds on the stable bridge number
Algebraic & geometric topology, Vol.11(4), pp.1987-2005
08/25/2009
DOI: 10.2140/agt.2011.11.1987
Abstract
Algebr. Geom. Topol. 11 (2011) 1987-2005 We show that if $K$ is a knot in $S^3$ and $\Sigma$ is a bridge sphere for $K$ with high distance and $2n$ punctures, the number of perturbations of $K$ required to interchange the two balls bounded by $\Sigma$ via an isotopy is $n$. We also construct a knot with two different bridge spheres with $2n$ and $2n-1$ bridges respectively for which any common perturbation has at least $3n-1$ bridges. We generalize both of these results to bridge surfaces for knots in any 3-manifold.
Details
- Title: Subtitle
- Flipping bridge surfaces and bounds on the stable bridge number
- Creators
- Jesse JohnsonMaggy Tomova
- Resource Type
- Journal article
- Publication Details
- Algebraic & geometric topology, Vol.11(4), pp.1987-2005
- DOI
- 10.2140/agt.2011.11.1987
- ISSN
- 1472-2747
- eISSN
- 1472-2739
- Language
- English
- Date published
- 08/25/2009
- Academic Unit
- Mathematics; Liberal Arts and Science Admin
- Record Identifier
- 9983985821602771
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