Knots with the lens space surgery

DOI10.1007/s00009-011-0163-3zbMath1278.57005OpenAlexW2061756425MaRDI QIDQ1943601

Alberto Cavicchioli, Agnese Ilaria Telloni

Publication date: 20 March 2013

Published in: Mediterranean Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00009-011-0163-3

zbMATH Keywords

knotfundamental groupDehn surgerylens spaceSeifert fibered spaceexceptional surgerytoroidal manifold

Mathematics Subject Classification ID

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

Related Items (1)

Spines and surgery descriptions of graph manifolds

Uses Software

• SnapPea

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Topology of compact space forms from Platonic solids. I.
• Knots yielding homeomorphic lens spaces by Dehn surgery
• Toroidal and boundary-reducing Dehn fillings
• Convergence groups and Seifert fibered 3-manifolds
• Obtaining graph knots by twisting unknots
• Klein bottle surgery and genera of knots.
• Dehn surgeries on knots creating essential tori. I
• Cyclic branched coverings over some classes of \((1,1)\)-knots
• Classification of framed links in 3-manifolds
• Seifert manifolds
• Toroidal Dehn fillings on hyperbolic 3-manifolds
• HYPERBOLIC KNOTS WITH THREE TOROIDAL DEHN SURGERIES
• Knot surgery and primeness
• Group Presentations Corresponding to Spines of 3-Manifolds 1
• Classifications of 3-Manifolds with Certain Spines
• Group Presentations Corresponding to Spines of 3-Manifolds.II
• Elastic waves in rods and clad rods
• Toroidal and Annular Dehn Fillings
• There are Knots whose Tunnel Numbers go down under Connected Sum
• Homotopy type of the complement of an immersion and classification of embeddings of tori
• Distance between toroidal surgeries on hyperbolic knots in the 3-sphere
• The classification of exceptional Dehn surgeries on 2-bridge knots

This page was built for publication: Knots with the lens space surgery