Quantum Knot Invariant for Torus Link and Modular Forms
arXiv:math-ph/0305039 · doi:10.1007/s00220-004-1046-2
Abstract
We consider an asymptotic expansion of Kashaev's invariant or the colored Jones function for the torus link T(2,2m). We shall give q-series identity related to these invariants, and show that the invariant is regarded as a limit of q being N-th root of unity of the Eichler integral of the modular form of weight 3/2.
24 pages