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arXiv · 0806.1887

A family of transversely nonsimple knots

Tirasan Khandhawit·Lenhard Ng
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Abstract

We apply knot Floer homology to exhibit an infinite family of transversely nonsimple prime knots starting with $10_{132}$. We also discuss the combinatorial relationship between grid diagrams, braids, and Legendrian and transverse knots in standard contact $\mathbb{R}^3$.

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Tirasan Khandhawit, Lenhard Ng. 2009-02-04. A family of transversely nonsimple knots. https://doi.org/10.2140/agt.2010.10.293

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