Can Dehn surgery yield three connected summands?

DOI10.4171/GGD/106zbMath1219.57008arXiv0908.2697OpenAlexW2963900214MaRDI QIDQ531914

James Howie

Publication date: 21 April 2011

Published in: Groups, Geometry, and Dynamics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0908.2697

zbMATH Keywords

reducibilityDehn surgerycabling conjectureScharlemann cycle

Mathematics Subject Classification ID

Fundamental group, presentations, free differential calculus (57M05)

Cites Work

• Unnamed Item
• Producing reducible 3-manifolds by surgery on a knot
• Foliations and the topology of 3-manifolds. III
• The reducibility of surgered \(3\)-manifolds and homology \(3\)-spheres
• Symmetric knots and the cabling conjecture
• A proof of the Scott-Wiegold conjecture on free products of cyclic groups
• Dehn fillings of 3-manifolds and non-persistent tori
• Reducible manifolds and Dehn surgery
• Dehn surgery on arborescent knots
• Smooth spheres in \({\mathbb{R}}^ 4\) with four critical points are standard
• Only integral Dehn surgeries can yield reducible manifolds
• REDUCIBLE DEHN SURGERY AND THE BRIDGE NUMBER OF A KNOT
• Knot surgery and primeness
• Knots are Determined by Their Complements
• Band Sums of Links which Yield Composite Links. The Cabling Conjecture for Strongly Invertible Knots
• THERE ARE NO STRICT GREAT x-CYCLES AFTER A REDUCING OR P² SURGERY ON A KNOT
• Dehn surgery on knots in solid tori creating essential annuli
• Symmetric knots satisfy the cabling conjecture
• Dehn surgery on knots

This page was built for publication: Can Dehn surgery yield three connected summands?