...-reducing Dehn surgeries and 1-bridge knots.
Ying-Qing Wu (1993)
Mathematische Annalen
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Ying-Qing Wu (1993)
Mathematische Annalen
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Makoto Sakuma, Kanji Morimoto (1991)
Mathematische Annalen
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Hendricks, Jacob (2004)
Algebraic & Geometric Topology
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J.A. Hillman, S.P. Plotnick (1990)
Mathematische Annalen
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Ronald Fintushel, Ronald J. Stern (1980)
Mathematische Zeitschrift
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S. Jablan, R. Sazdanovic (2003)
Visual Mathematics
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Schmitt, Peter (1997)
Beiträge zur Algebra und Geometrie
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Hitoshi Murakami (1985)
Mathematische Annalen
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Richard Hartley (1980)
Mathematische Zeitschrift
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Skip Pennock (2005)
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Dugopolski, Mark J. (1985)
International Journal of Mathematics and Mathematical Sciences
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Daniel S. Silver (1993)
Mathematische Annalen
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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.
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.