TY - JOUR

T1 - The slope conjecture for graph knots

AU - Motegi, Kimihiko

AU - Takata, Toshie

N1 - Funding Information:
We would like to thank Effie Kalfagianni and Anh Tran for suggesting an error in an earlier version of the paper. K.M. has been partially supported by JSPS Grants-in-Aid for Scientific Research (C), 26400099, The Ministry of Education, Culture, Sports, Science and Technology, Japan and Joint Research Grant of Institute of Natural Sciences at Nihon University for 2014. T.T. has been partially supported by JSPS Grants-in-Aid for Scientific Research (C), 25400094, The Ministry of Education, Culture, Sports, Science and Technology, Japan.

PY - 2017/5/1

Y1 - 2017/5/1

N2 - 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.

AB - 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.

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U2 - 10.1017/S0305004116000566

DO - 10.1017/S0305004116000566

M3 - Article

AN - SCOPUS:84976591884

VL - 162

SP - 383

EP - 392

JO - Mathematical Proceedings of the Cambridge Philosophical Society

JF - Mathematical Proceedings of the Cambridge Philosophical Society

SN - 0305-0041

IS - 3

ER -