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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… Click to show full 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.

Keywords: legendrian non; bridge knots; two bridge; non simple; simple two

Journal Title: Periodica Mathematica Hungarica
Year Published: 2019

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