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arXiv · 1501.01105

The slope conjecture for graph knots

Kimihiko Motegi·Toshie Takata
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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.

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Kimihiko Motegi, Toshie Takata. 2015-01-30. The slope conjecture for graph knots. https://doi.org/10.1017/s0305004116000566

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