On iterated torus knots and transversal knots.
Menasco, William W. (2001)
Geometry & Topology
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Displaying similar documents to “A new algorithm for recognizing the unknot.”
On iterated torus knots and transversal knots.
Legendrian graphs and quasipositive diagrams
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.
Some examples of essential laminations in 3-manifolds
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.
Levelling an unknotting tunnel.
Goda, Hiroshi, Scharlemann, Martin, Thompson, Abigail (2000)
Geometry & Topology
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On McMullen's and other inequalities for the Thurston norm of link complements.
Dasbach, Oliver T., Mangum, Brian S. (2001)
Algebraic & Geometric Topology
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Shadow world evaluation of the Yang-Mills measure.
Frohman, Charles, Kania-Bartoszynska, Joanna (2004)
Algebraic & Geometric Topology
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Computing triangulations of mapping tori of surface homeomorphisms.
Brinkmann, Peter, Schleimer, Saul (2001)
Experimental Mathematics
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Lefschetz fibrations on compact Stein surfaces.
Akbulut, Selman, Ozbagci, Burak (2001)
Geometry & Topology
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Laminar branched surfaces in 3--manifolds.
Li, Tao (2002)
Geometry & Topology
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On a problem in effective knot theory
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).