Volume 10, issue 1 (2010)

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A family of transversely nonsimple knots

Tirasan Khandhawit and Lenhard Ng

Algebraic & Geometric Topology 10 (2010) 293–314
Abstract

We apply knot Floer homology to exhibit an infinite family of transversely nonsimple prime knots starting with $1{0}_{132}$. We also discuss the combinatorial relationship between grid diagrams, braids and Legendrian and transverse knots in standard contact ${ℝ}^{3}$.

Keywords
transverse knot, Legendrian knot, knot Floer homology
Mathematical Subject Classification 2000
Primary: 57R17
Secondary: 57R58, 57M25