Legendrian non-simple Whitehead doubles of the trefoil
Acta Mathematica Hungarica, cilt.178, sa.1, ss.207-219, 2026 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 178 Sayı: 1
- Basım Tarihi: 2026
- Doi Numarası: 10.1007/s10474-026-01600-3
- Dergi Adı: Acta Mathematica Hungarica
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, MathSciNet
- Sayfa Sayıları: ss.207-219
- Anahtar Kelimeler: Contact manifolds, Knot Floer homology, Legendrian invariants, Legendrian simple knots
- Hacettepe Üniversitesi Adresli: Evet
Özet
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.