Nonfibered knots and representation shifts

Daniel S. Silver; Susan G. Williams

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Displaying similar documents to “Nonfibered knots and representation shifts”

Representation of $(1, 1)$ -knots.

Mulazzani, Michele (2006)

Sibirskie Ehlektronnye Matematicheskie Izvestiya [electronic only]

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Every knot is a billiard knot

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.

Unknotting number and knot diagram.

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.

Knot theory programs KNOT2000 (K2K) + LinKnot(K2K)+LinKnot(K2KC)

S. Jablan, R. Sazdanovic (2003)

Visual Mathematics

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Minimizing the presentation of a knot group.

Dugopolski, Mark J. (1985)

International Journal of Mathematics and Mathematical Sciences

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...-reducing Dehn surgeries and 1-bridge knots.

Ying-Qing Wu (1993)

Mathematische Annalen

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Spacefilling knots.

Schmitt, Peter (1997)

Beiträge zur Algebra und Geometrie

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Mp-small summands increase knot width.

Hendricks, Jacob (2004)

Algebraic & Geometric Topology

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A Family of Impossible Figures Studied by Knot Theory

Corinne Cerf (2002)

Visual Mathematics

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Turk's-head Knots (Braided Band Knots) a Mathematical Modeling

Skip Pennock (2005)

Visual Mathematics

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Lissajous knots and billiard knots

Vaughan Jones, Józef Przytycki (1998)

Banach Center Publications

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We show that Lissajous knots are equivalent to billiard knots in a cube. We consider also knots in general 3-dimensional billiard tables. We analyse symmetry of knots in billiard tables and show in particular that the Alexander polynomial of a Lissajous knot is a square modulo 2.

Torus knots that cannot be untied by twisting.

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.

Unsolved problems in virtual knot theory and combinatorial knot theory

Roger Fenn, Denis P. Ilyutko, Louis H. Kauffman, Vassily O. Manturov (2014)

Banach Center Publications

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This paper is a concise introduction to virtual knot theory, coupled with a list of research problems in this field.

The slicing number of a knot.

Livingston, Charles (2002)

Algebraic & Geometric Topology

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