Scharlemann's manifold is standard.
Akbulut, Selman (1999)
Annals of Mathematics. Second Series
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Akbulut, Selman (1999)
Annals of Mathematics. Second Series
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Ryohei Miyadera, Daisuke Minematsu, Satoshi Hashiba (2006)
Visual Mathematics
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Akbulut, Selman, Ozbagci, Burak (2001)
Geometry & Topology
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Dennis Roseman (1998)
Banach Center Publications
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We consider smooth knottings of compact (not necessarily orientable) n-dimensional manifolds in (or ), for the cases n=2 or n=3. In a previous paper we have generalized the notion of the Reidemeister moves of classical knot theory. In this paper we examine in more detail the above mentioned dimensions. Examples are given; in particular we examine projections of twist-spun knots. Knot moves are given which demonstrate the triviality of the 1-twist spun trefoil. Another application...
Greene, Michael, Wiest, Bert (1998)
Geometry & Topology
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Kálmán, Tamás (2005)
Geometry & Topology
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Kamada, Naoko (2004)
Algebraic & Geometric 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.
Deruelle, A., Matignon, D. (2003)
Algebraic & Geometric Topology
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Lisca, Paolo, Stipsicz, András I. (2004)
Geometry & Topology
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Szabó, Zoltán, Ozváth, Peter (2003)
Geometry & Topology
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