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A family of transversely nonsimple knots

Tirasan Khandhawit and Lenhard Ng

Algebraic & Geometric Topology 10 (2010) 293–314

DOI: 10.2140/agt.2010.10.293
Abstract

We apply knot Floer homology to exhibit an infinite family of transversely nonsimple prime knots starting with 10132. We also discuss the combinatorial relationship between grid diagrams, braids and Legendrian and transverse knots in standard contact R3.

Keywords

transverse knot, Legendrian knot, knot Floer homology
Mathematical Subject Classification

Primary: 57R17

Secondary: 57M25, 57R58
References
Publication

Received: 4 February 2009
Revised: 5 June 2009
Accepted: 2 November 2009
Published: 12 February 2010
Authors
Tirasan Khandhawit
Department of Mathematics
Massachusetts Institute of Technology
Cambridge, MA 02139
USA
Lenhard Ng
Mathematics Department
Duke University
Durham, NC 27708
USA