Knots and Involutions.
Richard Hartley (1980)
Mathematische Zeitschrift
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Richard Hartley (1980)
Mathematische Zeitschrift
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Ronald Fintushel, Ronald Stern (1981)
Mathematische Zeitschrift
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Ying-Qing Wu (1993)
Mathematische Annalen
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S. Jablan, R. Sazdanovic (2003)
Visual Mathematics
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Hendricks, Jacob (2004)
Algebraic & Geometric Topology
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C.McA. Gordon (1981)
Mathematische Annalen
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Dugopolski, Mark J. (1985)
International Journal of Mathematics and Mathematical Sciences
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Yasutaka Nakanishi (1996)
Revista Matemática de la Universidad Complutense de Madrid
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This note is a continuation of a former paper, where we have discussed the unknotting number of knots with respect to knot diagrams. We will show that for every minimum-crossing knot-diagram among all unknotting-number-one two-bridge knot there exist crossings whose exchange yields the trivial knot, if the third Tait conjecture is true.
Schmitt, Peter (1997)
Beiträge zur Algebra und Geometrie
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Vladimir Chernov, Rustam Sadykov (2016)
Fundamenta Mathematicae
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An elementary stabilization of a Legendrian knot L in the spherical cotangent bundle ST*M of a surface M is a surgery that results in attaching a handle to M along two discs away from the image in M of the projection of the knot L. A virtual Legendrian isotopy is a composition of stabilizations, destabilizations and Legendrian isotopies. A class of virtual Legendrian isotopy is called a virtual Legendrian knot. In contrast to Legendrian knots, virtual Legendrian knots...
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.
Mulazzani, Michele (2006)
Sibirskie Ehlektronnye Matematicheskie Izvestiya [electronic only]
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Mohamed Ait Nouh, Akira Yasuhara (2001)
Revista Matemática Complutense
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We give a necessary condition for a torus knot to be untied by a single twisting. By using this result, we give infinitely many torus knots that cannot be untied by a single twisting.