A family of transversely nonsimple knots
classification
🧮 math.GT
math.SG
keywords
knotsfamilynonsimpletransverselyapplybraidscombinatorialcontact
read the original 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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