Published January 1, 2015 | Version v1
Journal article Open

Nonlooseness of nonloose knots

  • 1. Univ Miami, Dept Math, Coral Gables, FL 33124 USA
  • 2. Hacettepe Univ, Dept Math, TR-06800 Beytepe, Turkey

Description

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.

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