Note on the Casson-Gordon Invariant of a Satellite Knot.
Hamid Abchir (1996)
Manuscripta mathematica
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Hamid Abchir (1996)
Manuscripta mathematica
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Skip Pennock (2005)
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S. Jablan, R. Sazdanovic (2003)
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Schmitt, Peter (1997)
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Dennis Roseman (1975)
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Prabhakar Madeti, Rama Mishra (2006)
Fundamenta Mathematicae
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We discuss polynomial representations for 2-bridge knots and determine the minimal degree sequence for all such knots. We apply the connection between rational tangles and 2-bridge knots.
P. V. Koseleff, D. Pecker (2014)
Banach Center Publications
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We show that every knot can be realized as a billiard trajectory in a convex prism. This proves a conjecture of Jones and Przytycki.
Hendricks, Jacob (2004)
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Ying-Qing Wu (1993)
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Dugopolski, Mark J. (1985)
International Journal of Mathematics and Mathematical Sciences
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Richard Hartley (1980)
Mathematische Zeitschrift
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Mulazzani, Michele (2006)
Sibirskie Ehlektronnye Matematicheskie Izvestiya [electronic only]
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Khovanov, Mikhail (2003)
Experimental Mathematics
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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.