Nonminimal bridge positions of torus knots are stabilized
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Publication:3089123
DOI10.1017/S0305004111000235zbMath1226.57012arXiv1006.1026OpenAlexW2140909161MaRDI QIDQ3089123
Publication date: 23 August 2011
Published in: Mathematical Proceedings of the Cambridge Philosophical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1006.1026
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Related Items (8)
Unperturbed weakly reducible non-minimal bridge positions ⋮ Uniqueness of higher genus bridge surfaces for torus knots ⋮ Nonminimal bridge position of 2-cable links ⋮ Unexpected local minima in the width complexes for knots ⋮ Classification of 3-bridge spheres of 3-bridge arborescent links ⋮ Knots and surfaces ⋮ A knot with destabilized bridge spheres of arbitrarily high bridge number ⋮ A locally minimal, but not globally minimal, bridge position of a knot
Cites Work
- Unnamed Item
- Heegard splittings of the form \(H+nK\)
- Heegaard surfaces and measured laminations. I: the Waldhausen conjecture
- On unknotting tunnels for knots
- Studying links via closed braids. IV: Composite links and split links
- Three-bridge links with infinitely many three-bridge spheres
- Reducing Heegaard splittings
- A generalized bridge number for links in 3-manifolds
- Incompressible surfaces in the knot manifolds of torus knots
- Additivity of tunnel number for small knots
- Zur dreidimensionalen Topologie
- 3-manifolds with irreducible Heegaard splittings of high genus
- Non-isotopic Heegaard splittings of Seifert fibered spaces. With an appendix by R.Weidmann
- Heegaard-Zerlegungen der 3-Sphäre
- Über eine numerische Knoteninvariante
- Uniqueness of bridge surfaces for 2-bridge knots
- Minimal Plat Representations of Prime Knots and Links are not Unique
- On the Stable Equivalence of Plat Representations of Knots and Links
- HEEGAARD SPLITTINGS OF THE TRIVIAL KNOT
- Additivity of bridge numbers of knots
- Thin position for knots in a 3-manifold
- Bridge numbers of torus knots
- Thin position of a pair (3-manifold, 1-submanifold).
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