Geodesic
Torus knots obtained by twisting torus knots
Lee, Sangyop1
1Department of Mathematics, Chung-Ang University, 84 Heukseok-ro, Dongjak-gu, Seoul 156-756, South Korea
Algebraic and Geometric Topology, Tome 15 (2015) no. 5, pp. 2817-2836
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A twisted torus knot is obtained from a torus knot by adding a number of full twists to some adjacent strands of the torus knot. In this paper, we show that if a twisted torus knot is a torus knot, then the number of added full twists is generically at most two in absolute value. We also show that this bound is the best possible by classifying twisted torus knots for which the upper bound is attained.

DOI : 10.2140/agt.2015.15.2819
Classification : 57N10
Keywords: Dehn surgery, torus knots, twisted torus knots

Lee, Sangyop  1

1 Department of Mathematics, Chung-Ang University, 84 Heukseok-ro, Dongjak-gu, Seoul 156-756, South Korea 
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Lee, Sangyop. Torus knots obtained by twisting torus knots. Algebraic and Geometric Topology, Tome 15 (2015) no. 5, pp. 2817-2836. doi: 10.2140/agt.2015.15.2819

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