Nonlooseness of nonloose knots

Kenneth Baker, Sinem Onaran

Research output: Contribution to journalArticle

5 Citations (Scopus)

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 languageEnglish (US)
Pages (from-to)1031-1066
Number of pages36
JournalAlgebraic and Geometric Topology
Volume15
Issue number2
DOIs
StatePublished - Apr 22 2015

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Knot
Complement
Transverse
Contact
Distinct

ASJC Scopus subject areas

  • Geometry and Topology

Cite this

Nonlooseness of nonloose knots. / Baker, Kenneth; Onaran, Sinem.

In: Algebraic and Geometric Topology, Vol. 15, No. 2, 22.04.2015, p. 1031-1066.

Research output: Contribution to journalArticle

Baker, Kenneth ; Onaran, Sinem. / Nonlooseness of nonloose knots. In: Algebraic and Geometric Topology. 2015 ; Vol. 15, No. 2. pp. 1031-1066.
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