A family of transversely nonsimple knots

Khandhawit, Tirasan; Ng, Lenhard

doi:10.2140/agt.2010.10.293

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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 $1 0_{132}$ . 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

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

Volume 10, issue 1 (2010)