The slope conjecture for graph knots

Author:

MOTEGI KIMIHIKO,TAKATA TOSHIE

Abstract

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

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

Reference16 articles.

1. C. Lee and R. van der Veen Slopes for pretzel knots. arXiv:1602.04546.

2. S. Garoufalidis and R. van der Veen Quadratic integer programming and the slope conjecture. arXiv:1405.5088.

3. Dehn surgery and satellite knots

4. The diameter of the set of boundary slopes of a knot

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