A note on tunnel number of composite knots

DOI10.1016/j.topol.2011.07.020zbMath1228.57003OpenAlexW2034643573MaRDI QIDQ719538

Qilong Guo, Ruifeng Qiu, Xutao Gao

Publication date: 10 October 2011

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.topol.2011.07.020

zbMATH Keywords

tunnel numberHeegaard splittinghigh distance

Mathematics Subject Classification ID

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

Related Items

A note on bicompressible surface and unstabilized amalgamated Heegaard splitting, Minimal Heegaard genus of amalgamated 3-manifolds, On tunnel numbers of a cable knot and its companion, On the degeneration of tunnel numbers under a connected sum

Cites Work

• Unnamed Item
• Heegaard splittings of Haken manifolds have bounded distance.
• Heegaard genera of high distance are additive under annulus sum
• The Heegaard genera of surface sums
• Proximity in the curve complex: boundary reduction and bicompressible surfaces
• Reducing Heegaard splittings
• On the super additivity of tunnel number of knots
• Additivity of tunnel number for small knots
• High distance knots
• Alternate Heegaard genus bounds distance
• HEEGAARD GENERA OF ANNULAR 3-MANIFOLDS
• A CONSTRUCTION OF ARBITRARILY HIGH DEGENERATION OF TUNNEL NUMBERS OF KNOTS UNDER CONNECTED SUM
• There are Knots whose Tunnel Numbers go down under Connected Sum
• 3-manifolds as viewed from the curve complex