Nonlooseness of nonloose knots

Baker, Kenneth L; Onaran, Sinem

doi:10.2140/agt.2015.15.1031

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Nonlooseness of nonloose knots

Kenneth L Baker and Sinem Onaran

Algebraic & Geometric Topology 15 (2015) 1031–1066

DOI: 10.2140/agt.2015.15.1031

Abstract

A Legendrian or transverse knot in an overtwisted contact $3$ –manifold is nonloose if its complement is tight and loose if its complement is overtwisted. We define three measures of the extent of nonlooseness of a nonloose knot and show they are distinct.

Keywords

overtwisted contact structure, Legendrian knots, transverse knots, nonloose knots

Mathematical Subject Classification 2010

Primary: 53D10, 57M27

References

Publication

Received: 21 May 2014

Revised: 18 August 2014

Accepted: 21 August 2014

Published: 22 April 2015

Authors

Kenneth L Baker
Department of Mathematics University of Miami 1365 Memorial Drive Coral Gables, FL 33124-4250 USA

Sinem Onaran
Department of Mathematics Hacettepe University 06800 Beytepe-Ankara Turkey

Volume 15, issue 2 (2015)