Akiko Shima (1998)
Revista Matemática Complutense
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Let T be a torus in S4 and T* a projection of T. If the singular set Gamma(T*) consists of one disjoint simple closed curve, then T can be moved to the standard position by an ambient isotopy of S4.
Leonid Plachta (2012)
Open Mathematics
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Let Θ denote the class of essential tori in a closed braid complement which admit a standard tiling in the sense of Birman and Menasco [Birman J.S., Menasco W.W., Special positions for essential tori in link complements, Topology, 1994, 33(3), 525–556]. Moreover, let R denote the class of thin tiled tori in the sense of Ng [Ng K.Y., Essential tori in link complements, J. Knot Theory Ramifications, 1998, 7(2), 205–216]. We define the subclass B ⊂ Θ of typical tiled tori and show that...
Mangum, Brian, Stanford, Theodore (2001)
Algebraic & Geometric Topology
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Bradd Clark, Gerhard Ritter (1983)
Fundamenta Mathematicae
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Erbland, John, Guterriez, Mauricio (1991)
International Journal of Mathematics and Mathematical Sciences
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Deruelle, A., Matignon, D. (2003)
Algebraic & Geometric Topology
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Dean, John C. (2003)
Algebraic & Geometric Topology
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Etnyre, John B. (1999)
Geometry & Topology
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V. Poénaru, C. Tanasi (2001)
Rendiconti del Seminario Matematico della Università di Padova
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Lisca, Paolo, Stipsicz, András I. (2004)
Geometry & Topology
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Lee Rudolph (1989)
Revista Matemática de la Universidad Complutense de Madrid
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This is a survey (including new results) of relations ?some emergent, others established? among three notions which the 1980s saw introduced into knot theory: quasipositivity of a link, the enhanced Milnor number of a fibered link, and the new link polynomials. The Seifert form fails to determine these invariants; perhaps there exists an ?enhanced Seifert form? which does.