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math.SGDec 19, 2013
11
citations (OpenAlex)
authors
  • Kenneth L. Baker
  • Sinem Onaran
institutions
  • Hacettepe University
  • University of Miami
arXiv abstractPDF
paper

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

References in corpus (14)

  • Géométrie de contact: de la dimension trois vers les dimensions supérieures
  • On the classification of tight contact structures I
  • Generalized complex structures on nilmanifolds
  • Ozsvath-Szabo invariants and tight contact three-manifolds, I
  • Knots and Contact Geometry
  • Handle moves in contact surgery diagrams
  • Heegaard Floer invariants of Legendrian knots in contact three--manifolds
  • Open Book Foliations
  • Legendrian knots in overtwisted contact structures
  • Monopole Floer homology and Legendrian knots
  • Comultiplicativity of the Ozsvath-Szabo contact invariant
  • Generalised Thurston-Bennequin invariants for real algebraic surface singularities
  • A function on the homology of 3-manifolds
  • Visualizing overtwisted discs in open books

Cited by in corpus (5)

  • Khovanov homology detects the trefoils
  • Transverse Surgery on Knots in Contact 3-Manifolds
  • Non-loose negative torus knots
  • Quasi right-veering braids and non-loose links
  • Contact (+1)-surgeries on rational homology 3-spheres
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