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math.GTApr 17, 2024
1
citations (OpenAlex)
authors
  • Maciej Borodzik
  • Masakazu Teragaito
institutions
  • Hiroshima University
  • Institute of Mathematics
arXiv abstractPDF
paper

Hyperbolic L-space knots not concordant to algebraic knots

arXiv:2404.11286 · doi:10.2140/pjm.2025.335.33

Abstract

We construct hyperbolic L-space knots that are not concordant to any linear combination of algebraic knots.

16 pages 10 figures

References in corpus (10)

  • Concordance homomorphisms from knot Floer homology
  • Notes on the knot concordance invariant Upsilon
  • The reduced knot Floer complex
  • On cobordisms between knots, braid index, and the Upsilon-invariant
  • Links of plane curve singularities are L-space links
  • Seifert vs slice genera of knots in twist families and a characterization of braid axes
  • Satellite knots and L-space surgeries
  • Up to topological concordance links are strongly quasipositive
  • On the values taken by slice torus invariants
  • Census L-space knots are braid positive, except for one that is not

Cited by in corpus (1)

  • New family of hyperbolic knots whose Upsilon invariants are convex
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