Legendrian non-simple Whitehead doubles of the trefoil

KIVANÇ S.

Acta Mathematica Hungarica, 2026 (SCI-Expanded, Scopus) identifier

  • Publication Type: Article / Article
  • Publication Date: 2026
  • Doi Number: 10.1007/s10474-026-01600-3
  • Journal Name: Acta Mathematica Hungarica
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, MathSciNet
  • Keywords: Contact manifolds, Knot Floer homology, Legendrian invariants, Legendrian simple knots
  • Hacettepe University Affiliated: Yes

Abstract

Ozsváth and Stipsicz showed that some Eliashberg–Chekanov twist knots, which are Whitehead doubles of the unknot, are not Legendrian simple. We extend their result by considering some Whitehead doubles of the trefoil: Using properties of knot Floer homology and the distinguished surgery triangle, we show that this family of knots is Legendrian non-simple in the standard contact 3-sphere.