HIGH DISTANCE KNOTS IN CLOSED 3-MANIFOLDS

DOI10.1142/S0218216511009637zbMath1250.57031arXiv0911.3675OpenAlexW2121912353MaRDI QIDQ3118664

Marion Campisi, Matt Rathbun

Publication date: 3 March 2012

Published in: Journal of Knot Theory and Its Ramifications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0911.3675

zbMATH Keywords

knotsdistancecoarse geometryHeegaard splittingspants decompositionscurve complexhigh distancecoarse mapping class groupdisk set

Mathematics Subject Classification ID

General low-dimensional topology (57M99)

Related Items (4)

Curve Complexes Versus Tits Buildings: Structures and Applications ⋮ The Powell conjecture and reducing sphere complexes ⋮ Bridge splittings of links with distance exactly \(n\) ⋮ Heegaard distance of the link complements in S3

Cites Work

• Heegaard splittings of Haken manifolds have bounded distance.
• Distance of Heegaard splittings of knot complements
• Almost filling laminations and the connectivity of ending lamination space
• Distances of Heegaard splittings
• High distance knots
• Alternate Heegaard genus bounds distance
• On the geometry and dynamics of diffeomorphisms of surfaces
• 3-manifolds as viewed from the curve complex

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