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Abstract
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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.
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Keywords
Dehn surgery, torus knots, twisted torus knots
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Mathematical Subject Classification 2010
Primary: 57N10
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Publication
Received: 30 June 2014
Revised: 4 August 2014
Accepted: 9 February 2015
Published: 10 December 2015
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