Computations of the Ozsvath-Szabo knot concordance invariant.
Livingston, Charles (2004)
Geometry & Topology
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Livingston, Charles (2004)
Geometry & Topology
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Patrick M. Gilmer (1982)
Inventiones mathematicae
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Livingston, Charles (2004)
Algebraic & Geometric Topology
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Clark, Bradd Evans (1983)
International Journal of Mathematics and Mathematical Sciences
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Daniel S. Silver, Susan G. Williams (2009)
Banach Center Publications
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A conjecture of [swTAMS] states that a knot is nonfibered if and only if its infinite cyclic cover has uncountably many finite covers. We prove the conjecture for a class of knots that includes all knots of genus 1, using techniques from symbolic dynamics.
Mulazzani, Michele (2006)
Sibirskie Ehlektronnye Matematicheskie Izvestiya [electronic only]
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Livingston, Charles (2003)
Geometry & Topology
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A. Stoimenow (1999)
Annales de la Faculté des sciences de Toulouse : Mathématiques
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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.
Alexander Stoimenow (2003)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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Using the recent Gauß diagram formulas for Vassiliev invariants of Polyak-Viro-Fiedler and combining these formulas with the Bennequin inequality, we prove several inequalities for positive knots relating their Vassiliev invariants, genus and degrees of the Jones polynomial. As a consequence, we prove that for any of the polynomials of Alexander/Conway, Jones, HOMFLY, Brandt-Lickorish-Millett-Ho and Kauffman there are only finitely many positive knots with the same polynomial and no...
Hendricks, Jacob (2004)
Algebraic & Geometric Topology
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Livingston, Charles (2002)
Algebraic & Geometric Topology
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