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arXiv · 1811.08841

Legendrian Non-Simple Two-Bridge Knots

Viktória Földvári
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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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Viktória Földvári. 2018-12-19. Legendrian Non-Simple Two-Bridge Knots. https://doi.org/10.1007/s10998-018-00281-y

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