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math.GTJan 21, 2016
10
citations (OpenAlex)
authors
  • Jennifer Hom
institutions
  • Georgia Institute of Technology
  • Institute for Advanced Study
arXiv abstractPDF
paper

Satellite knots and L-space surgeries

arXiv:1601.05696 · 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 which produce satellite L-space knots.

8 pages, 2 figures

References in corpus (7)

  • Knot Floer homology detects fibred knots
  • Floer Simple Manifolds and L-Space Intervals
  • On knot Floer homology and cabling II
  • Berge-Gabai knots and L-space satellite operations
  • Twist families of L-space knots, their genera, and Seifert surgeries
  • Montesinos knots, Hopf plumbings, and L-space surgeries
  • Splicing integer framed knot complements and bordered Heegaard Floer homology

Cited by in corpus (5)

  • Seifert vs slice genera of knots in twist families and a characterization of braid axes
  • L-space knots have no essential Conway spheres
  • Hyperbolic L-space knots not concordant to algebraic knots
  • Taut foliations in branched cyclic covers and left-orderable groups
  • On L-space knots obtained from unknotting arcs in alternating diagrams
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