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Legendrian non-simple two-bridge knots

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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.

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Acknowledgements

I thank my supervisor, András Stipsicz, for his help and guidance.

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  1. Institute of Mathematics, Eötvös Loránd University, Budapest, Hungary

    Viktória Földvári

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  1. Viktória Földvári
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Correspondence to Viktória Földvári.

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Földvári, V. Legendrian non-simple two-bridge knots. Period Math Hung 79, 12–24 (2019). https://doi.org/10.1007/s10998-018-00281-y

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