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.
Publisher Copyright:
© 2016 Cambridge Philosophical Society.
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
SN - 0305-0041
VL - 162
SP - 383
EP - 392
JO - Mathematical Proceedings of the Cambridge Philosophical Society
JF - Mathematical Proceedings of the Cambridge Philosophical Society
IS - 3
ER -