Generalized Montesinos knots, tunnels and \({\mathcal N}\)-torsion

DOI10.1007/BF01444882zbMath0795.57006OpenAlexW2087213092MaRDI QIDQ1318054

Yoav Moriah, Martin Lustig

Publication date: 11 September 1994

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/165037

zbMATH Keywords

tunnel numbertorsion invariantbridge numberHeegaard genusrank of the fundamental groupnon-isotopic Heegaard splittingsnon-isotopic tunnel systems

Mathematics Subject Classification ID

Related Items (14)

A note on equivalence classes of plats ⋮ The tunnel numbers of all 11- and 12-crossing alternating knots ⋮ Meridional rank of knots whose exterior is a graph manifold ⋮ Coxeter groups and meridional rank of links ⋮ Meridional rank and bridge number for a class of links ⋮ Generating pairs and group actions ⋮ Generalized torsion for hyperbolic 3‐manifold groups with arbitrary large rank ⋮ Bridge spectra of cables of 2-bridge knots ⋮ Some sufficient conditions for tunnel numbers of connected sum of two knots not to go down ⋮ On the tunnel number and the Morse-Novikov number of knots ⋮ Closed incompressible surfaces in knot complements ⋮ Closed incompressible surfaces in complements of wide knots and links ⋮ NIELSEN EQUIVALENCE OF GENERATING PAIRS OF SL(2,q) ⋮ Tunnel number one knots, 𝑚-small knots and the Morimoto conjecture

Cites Work

• Unnamed Item
• Nielsen equivalence in Fuchsian groups and Seifert fibered spaces
• On unknotting tunnels for knots
• Nombre de ponts et générateurs méridiens des entrelacs de Montesinos
• Heegaard splittings and branched coverings of B 3
• Generating systems of groups and Reidemeister-Whitehead torsion
• A criterion for detecting inequivalent tunnels for a knot
• Heegaard surfaces in Haken 3-manifolds

This page was built for publication: Generalized Montesinos knots, tunnels and \({\mathcal N}\)-torsion