Legendrian Non-Simple Two-Bridge Knots
arXiv:1811.08841 · doi:10.1007/s10998-018-00281-y
Abstract
By examining knot Floer homology, we extend a result of Ozsváth and Stipsicz and show further infinitely many Legendrian and transversely non-simple knot types among two-bridge knots. We give sufficient conditions of Legendrian and transverse non-simplicity on the continued fraction expansion of the corresponding rational number.