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The slope conjecture for graph knots

Published online by Cambridge University Press:  30 June 2016

KIMIHIKO MOTEGI  and
TOSHIE TAKATA
KIMIHIKO MOTEGI
Affiliation:
Department of Mathematics, Nihon University, 3-25-40 Sakurajosui, Setagaya-ku, Tokyo 156–8550, Japan. e-mail: motegi@math.chs.nihon-u.ac.jp
TOSHIE TAKATA
Affiliation:
Graduate School of Mathematics, Kyushu University, 744 Motooka, Nishi-ku, Fukuoka 819–0395, Japan. e-mail: ttakata@math.kyushu-u.ac.jp
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Abstract

The 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.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 162 , Issue 3 , May 2017 , pp. 383 - 392
Copyright
Copyright © Cambridge Philosophical Society 2016 

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References

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