Nonlooseness of nonloose knots

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Baker K. L., ONARAN S.

ALGEBRAIC AND GEOMETRIC TOPOLOGY, vol.15, no.2, pp.1031-1066, 2015 (SCI-Expanded, Scopus)

• Publication Type: Article / Article
• Volume: 15 Issue: 2
• Publication Date: 2015
• Doi Number: 10.2140/agt.2015.15.1031
• Journal Name: ALGEBRAIC AND GEOMETRIC TOPOLOGY
• Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
• Page Numbers: pp.1031-1066
• Open Archive Collection: AVESIS Open Access Collection
• Hacettepe University Affiliated: Yes

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.