Nonlooseness of nonloose knots

Baker, Kenneth L¹ ; Onaran, Sinem²

¹Department of Mathematics, University of Miami, 1365 Memorial Drive, Coral Gables, FL 33124-4250, USA
²Department of Mathematics, Hacettepe University, 06800 Beytepe-Ankara, Turkey

Algebraic and Geometric Topology, Tome 15 (2015) no. 2, pp. 1031-1066

Résumé

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.

Détail

DOI : 10.2140/agt.2015.15.1031

Classification : 53D10, 57M27
Keywords: overtwisted contact structure, Legendrian knots, transverse knots, nonloose knots

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