Legendrian non-simple two-bridge knots
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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.
KeywordsLegendrian knots Transverse knots Two-bridge knots Knot Floer homology
I thank my supervisor, András Stipsicz, for his help and guidance.