Thin position for knots in a 3-manifold

DOI10.1112/jlms/jdp009zbMath1220.57004arXivmath/0609674OpenAlexW1991011884MaRDI QIDQ5323901

Maggy Tomova

Publication date: 31 July 2009

Published in: Journal of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0609674

zbMATH Keywords

linkthin positionHeegaard surfacesstabilizedgeneralized Heegaard splittingcut-disksmeridionally stabilized

Mathematics Subject Classification ID

General geometric structures on low-dimensional manifolds (57M50)

Related Items

High distance tangles and tunnel number of knots ⋮ Heegaard surfaces for certain graphs in compressionbodies ⋮ Equivariant Heegaard genus of reducible 3-manifolds ⋮ Links, bridge number, and width trees ⋮ Essential tangle decompositions of knots with tunnel number one tangles ⋮ Uniqueness of higher genus bridge surfaces for torus knots ⋮ Flipping bridge surfaces and bounds on the stable bridge number ⋮ Tunnel number of tangles and knots ⋮ Multiple bridge surfaces restrict knot distance ⋮ Meridional destabilizing number of knots ⋮ Knots and surfaces ⋮ Nonminimal bridge positions of torus knots are stabilized ⋮ A locally minimal, but not globally minimal, bridge position of a knot

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