Seifert forms and concordance.
Livingston, Charles (2002)
Geometry & Topology
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Livingston, Charles (2002)
Geometry & Topology
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Alberto Cavicchioli, Beatrice Ruini, Fulvia Spaggiari (1999)
Revista Matemática Complutense
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In this paper we study the connections between cyclic presentations of groups and the fundamental group of cyclic branched coverings of 2-bridge knots. Then we show that the topology of these manifolds (and knots) arises, in a natural way, from the algebraic properties of such presentations.
Livingston, Charles (2001)
Algebraic & Geometric Topology
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Nafaa Chbili (2003)
Annales de la Faculté des sciences de Toulouse : Mathématiques
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Livingston, Charles (2002)
Algebraic & Geometric Topology
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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.
Roger Fenn, Louis H. Kauffman, Vassily O. Manturov (2005)
Fundamenta Mathematicae
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The present paper gives a quick survey of virtual and classical knot theory and presents a list of unsolved problems about virtual knots and links. These are all problems in low-dimensional topology with a special emphasis on virtual knots. In particular, we touch new approaches to knot invariants such as biquandles and Khovanov homology theory. Connections to other geometrical and combinatorial aspects are also discussed.
Paolo Lisca, Peter Ozsváth, András I. Stipsicz, Zoltán Szabó (2009)
Journal of the European Mathematical Society
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Perko, Kenneth A. jr. (1979)
Portugaliae mathematica
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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.
Ozsváth, Peter, Szabó, Zoltán (2003)
Geometry & Topology
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Plamenevskaya, Olga (2004)
Algebraic & Geometric Topology
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