Uniqueness of bridge surfaces for 2-bridge knots

DOI10.1017/S0305004107000977zbMath1152.57006arXivmath/0609567OpenAlexW2152554940MaRDI QIDQ3506448

Maggy Tomova, Martin G. Scharlemann

Publication date: 13 June 2008

Published in: Mathematical Proceedings of the Cambridge Philosophical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0609567

zbMATH Keywords

Heegaard splitting2-bridge knotsbridge surface

Mathematics Subject Classification ID

Related Items (19)

A generalization of the rectangle condition ⋮ Distance two links ⋮ Heegaard surfaces for certain graphs in compressionbodies ⋮ Characterization of 3-bridge links with infinitely many 3-bridge spheres ⋮ Links, bridge number, and width trees ⋮ Uniqueness of higher genus bridge surfaces for torus knots ⋮ Nonminimal bridge position of 2-cable links ⋮ Classification of 3-bridge spheres of 3-bridge arborescent links ⋮ Flipping bridge surfaces and bounds on the stable bridge number ⋮ The disk complex and 2-bridge knots ⋮ Multiple bridge surfaces restrict knot distance ⋮ Thin position for knots, links, and graphs in 3-manifolds ⋮ Exceptional and cosmetic surgeries on knots ⋮ Reduction of bridge positions along bridge disks ⋮ Additive invariants for knots, links and graphs in 3-manifolds ⋮ Knots and surfaces ⋮ Meridional almost normal surfaces in knot complements ⋮ Nonminimal bridge positions of torus knots are stabilized ⋮ A locally minimal, but not globally minimal, bridge position of a knot

Cites Work

• Heegaard genus of closed orientable Seifert 3-manifolds
• Incompressible surfaces in 2-bridge knot complements
• Reducing Heegaard splittings
• Topological quantum field theory
• Irreducible Heegaard splittings of Seifert fibered spaces are either vertical or horizontal
• Levelling an unknotting tunnel
• Heegaard splittings of exteriors of two bridge knots
• Comparing Heegaard splittings of non-Haken 3-manifolds
• Heegaard-Zerlegungen der 3-Sphäre
• Comparing Heegaard splittings -the bounded case
• HEEGAARD SPLITTINGS OF TRIVIAL ARCS IN COMPRESSION BODIES

This page was built for publication: Uniqueness of bridge surfaces for 2-bridge knots