On iterated torus knots and transversal knots.
Menasco, William W. (2001)
Geometry & Topology
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Menasco, William W. (2001)
Geometry & Topology
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Sebastian Baader, Masaharu Ishikawa (2009)
Annales de la faculté des sciences de Toulouse Mathématiques
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In this paper we clarify the relationship between ribbon surfaces of Legendrian graphs and quasipositive diagrams by using certain fence diagrams. As an application, we give an alternative proof of a theorem concerning a relationship between quasipositive fiber surfaces and contact structures on . We also answer a question of L. Rudolph concerning moves of quasipositive diagrams.
Allen Hatcher (1992)
Annales de l'institut Fourier
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Families of codimension-one foliations and laminations are constructed in certain 3-manifolds, with the property that their transverse intersection with the boundary torus of the manifold consists of parallel curves whose slope varies continuously with certain parameters in the construction. The 3-manifolds are 2-bridge knot complements and punctured-torus bundles.
Goda, Hiroshi, Scharlemann, Martin, Thompson, Abigail (2000)
Geometry & Topology
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Dasbach, Oliver T., Mangum, Brian S. (2001)
Algebraic & Geometric Topology
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Frohman, Charles, Kania-Bartoszynska, Joanna (2004)
Algebraic & Geometric Topology
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Brinkmann, Peter, Schleimer, Saul (2001)
Experimental Mathematics
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Akbulut, Selman, Ozbagci, Burak (2001)
Geometry & Topology
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Li, Tao (2002)
Geometry & Topology
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Stefano Galatolo (1998)
Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni
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The following problem is investigated: «Find an elementary function such that if is a knot diagram with crossings and the corresponding knot is trivial, then there is a sequence of Reidemeister moves that proves triviality such that at each step we have less than crossings». The problem is shown to be equivalent to a problem posed by D. Welsh in [7] and solved by geometrical techniques (normal surfaces).