The slope conjecture for graph knots

Abstract

The slope conjecture proposed by Garoufalidis asserts that the Jones slopes given by the sequence of degrees of the colored Jones polynomials are boundary slopes. We verify the slope conjecture for graph knots, i.e. knots whose Gromov volume vanish.

We found a gap in the proof of Lemma 3.1 in the last version (1501.01105v2). This lemma is replaced by Proposition 3.2 in [Kalfagianni and Tran; Knot cabling and the degree of the colored Jones polynomial (1501.01574v1)]. The title of the paper is also changed

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Cited by in corpus (3)

• Jones slopes and coarse volume of near-alternating links
• Knot Cabling and the Degree of the Colored Jones Polynomial
• The strong slope conjecture for cablings and connected sums