Nonlooseness of nonloose knots

Kenneth L. Baker; Sinem Onaran

doi:10.2140/agt.2015.15.1031

Nonlooseness of nonloose knots

Kenneth L. Baker, Sinem Onaran

Mathematics

Research output: Contribution to journal › Article › peer-review

7 Scopus citations

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.

Original language	English (US)
Pages (from-to)	1031-1066
Number of pages	36
Journal	Algebraic and Geometric Topology
Volume	15
Issue number	2
DOIs	https://doi.org/10.2140/agt.2015.15.1031
State	Published - Apr 22 2015

ASJC Scopus subject areas

Geometry and Topology

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title = "Nonlooseness of nonloose knots",

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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