Nonlooseness of nonloose knots

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Baker K. L., ONARAN S.

ALGEBRAIC AND GEOMETRIC TOPOLOGY, cilt.15, sa.2, ss.1031-1066, 2015 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 15 Sayı: 2
  • Basım Tarihi: 2015
  • Doi Numarası: 10.2140/agt.2015.15.1031
  • Dergi Adı: ALGEBRAIC AND GEOMETRIC TOPOLOGY
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.1031-1066
  • Hacettepe Üniversitesi Adresli: Evet

Özet

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.