We derive a formula for the colored Jones polynomial of 2-bridge knots. For a twist knot, a more explicit formula is given and it leads to a relation between the degree of the colored Jones polynomial and the crossing number.
机构:
Tokyo Inst Technol, Dept Math, Meguro Ku, 2-12-1 Ookayama, Tokyo 1528551, JapanTokyo Inst Technol, Dept Math, Meguro Ku, 2-12-1 Ookayama, Tokyo 1528551, Japan