On the AJ conjecture for cables of twist knots

Anh T. Tran. "On the AJ conjecture for cables of twist knots." Fundamenta Mathematicae 230.3 (2015): 291-307. <http://eudml.org/doc/283278>.

@article{AnhT2015,
abstract = { We study the AJ conjecture that relates the A-polynomial and the colored Jones polynomial of a knot in S³. We confirm the AJ conjecture for (r,2)-cables of the m-twist knot, for all odd integers r satisfying ⎧ (r+8)(r−8m) > 0 if m > 0, ⎨ ⎩ r(r+8m−4) > 0 if m < 0. },
author = {Anh T. Tran},
journal = {Fundamenta Mathematicae},
keywords = {colored Jones polynomial; skein module; A-polynomial; character variety; AJ conjecture; cable knot; twist knot},
language = {eng},
number = {3},
pages = {291-307},
title = {On the AJ conjecture for cables of twist knots},
url = {http://eudml.org/doc/283278},
volume = {230},
year = {2015},
}

TY - JOUR
AU - Anh T. Tran
TI - On the AJ conjecture for cables of twist knots
JO - Fundamenta Mathematicae
PY - 2015
VL - 230
IS - 3
SP - 291
EP - 307
AB - We study the AJ conjecture that relates the A-polynomial and the colored Jones polynomial of a knot in S³. We confirm the AJ conjecture for (r,2)-cables of the m-twist knot, for all odd integers r satisfying ⎧ (r+8)(r−8m) > 0 if m > 0, ⎨ ⎩ r(r+8m−4) > 0 if m < 0.
LA - eng
KW - colored Jones polynomial; skein module; A-polynomial; character variety; AJ conjecture; cable knot; twist knot
UR - http://eudml.org/doc/283278
ER -