Satellite knots and L-space surgeries

2016/08/04 by Jennifer Hom · 1 citation
Mathematics · Engineering · Biochemistry, Genetics and Molecular Biology · #Geometric and Algebraic Topology #Advanced Materials and Mechanics #Connective tissue disorders research

paper · doi:10.1112/blms/bdw044

Abstract

We give sufficient conditions for a satellite knot to admit an L-space surgery, and use this result to give new infinite families of patterns that produce satellite L-space knots.

Cited by

• Taut foliations in branched cyclic covers and left-orderable groups

Related

• Hyperbolic, L-space knots and exceptional Dehn surgeries
• Applications of the L-space satellite formula
• Cosmetic surgery on satellite knots
• Satellites and Lorenz knots
• Montesinos knots, Hopf plumbings, and L-space surgeries