Legendrian Non-simple Whitehead Doubles Of The Trefoil
Geometric Topology
2025-12-22 v1 Symplectic Geometry
Abstract
Ozsv\'ath 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.
Keywords
Cite
@article{arxiv.2512.15914,
title = {Legendrian Non-simple Whitehead Doubles Of The Trefoil},
author = {Saliha Kıvanç},
journal= {arXiv preprint arXiv:2512.15914},
year = {2025}
}
Comments
13 pages, 7 figures