Journal of the Mathematical Society of Japan
Online ISSN : 1881-1167
Print ISSN : 0025-5645
ISSN-L : 0025-5645
The strong slope conjecture and torus knots
Efstratia Kalfagianni
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2020 Volume 72 Issue 1 Pages 73-79

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Abstract

We show that the strong slope conjecture implies that the degree of the colored Jones polynomial detects all torus knots. As an application we obtain that an adequate knot that has the same colored Jones polynomial degrees as a torus knot must be a (2, π‘ž)-torus knot.

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© 2020 The Mathematical Society of Japan
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