Non-looseness of non-loose knots
arXiv:1312.5721 · doi:10.2140/agt.2015.15.1031
Abstract
A Legendrian or transverse knot in an overtwisted contact 3-manifold is non-loose if its complement is tight and loose if its complement is overtwisted. We define three measures of the extent of non-looseness of a non-loose knot and show they are distinct.
24 pages, 10 figures