Nonlooseness of nonloose knots

Kenneth L Baker; None Onaran

doi:10.2140/agt.2015.15.1031

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Home > Journals > Algebr. Geom. Topol. > Volume 15 > Issue 2 > Article

2015 Nonlooseness of nonloose knots

Kenneth L Baker, None Onaran

Algebr. Geom. Topol. 15(2): 1031-1066 (2015). DOI: 10.2140/agt.2015.15.1031

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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.

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Kenneth L Baker. None Onaran. "Nonlooseness of nonloose knots." Algebr. Geom. Topol. 15 (2) 1031 - 1066, 2015. https://doi.org/10.2140/agt.2015.15.1031