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.
H. Bothe (1981)
Fundamenta Mathematicae
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Erbland, John, Guterriez, Mauricio (1991)
International Journal of Mathematics and Mathematical Sciences
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Toru Ikeda (1994)
Revista Matemática de la Universidad Complutense de Madrid
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Deruelle, A., Matignon, D. (2003)
Algebraic & Geometric Topology
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Akira Yasuhara (1992)
Revista Matemática de la Universidad Complutense de Madrid
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We investigate the knots in the boundary of the punctured complex projective plane. Our result gives an affirmative answer to a question raised by Suzuki. As an application, we answer to a question by Mathieu.
Vaughan Jones, Józef Przytycki (1998)
Banach Center Publications
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We show that Lissajous knots are equivalent to billiard knots in a cube. We consider also knots in general 3-dimensional billiard tables. We analyse symmetry of knots in billiard tables and show in particular that the Alexander polynomial of a Lissajous knot is a square modulo 2.
Etnyre, John B. (1999)
Geometry & Topology
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Greene, Michael, Wiest, Bert (1998)
Geometry & Topology
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Sullivan, Michael C. (2005)
Algebraic & Geometric Topology
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Clark, Bradd Evans (1983)
International Journal of Mathematics and Mathematical Sciences
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