TY - JOUR
T1 - Asymptotics of the colored Jones polynomial and the A-polynomial
AU - Hikami, Kazuhiro
N1 - Funding Information:
The author would like to thank J. Kaneko, A.N. Kirillov, H. Murakami, T. Takata, and Y. Yokota for discussions. This work is supported in part by Grant-in-Aid from the Ministry of Education, Culture, Sports, Science and Technology of Japan.
PY - 2007/7/2
Y1 - 2007/7/2
N2 - We study Gukov's conjecture, which relates an asymptotics of the colored Jones polynomial to the A-polynomial, in the case of twist knots. We show that an asymptotics of the N-colored Jones polynomial with q = exp (2 π i r / N) in large N limit is dominated by the Neumann-Zagier potential function which gives the A-polynomial. We also discuss a case of torus knots.
AB - We study Gukov's conjecture, which relates an asymptotics of the colored Jones polynomial to the A-polynomial, in the case of twist knots. We show that an asymptotics of the N-colored Jones polynomial with q = exp (2 π i r / N) in large N limit is dominated by the Neumann-Zagier potential function which gives the A-polynomial. We also discuss a case of torus knots.
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U2 - 10.1016/j.nuclphysb.2007.03.022
DO - 10.1016/j.nuclphysb.2007.03.022
M3 - Article
AN - SCOPUS:34248561163
SN - 0550-3213
VL - 773
SP - 184
EP - 202
JO - Nuclear Physics B
JF - Nuclear Physics B
IS - 3
ER -