Quantum Knot Invariant for Torus Link and Modular Forms
数学物理
2007-05-23 v2 几何拓扑
math.MP
摘要
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.
关键词
引用
@article{arxiv.math-ph/0305039,
title = {Quantum Knot Invariant for Torus Link and Modular Forms},
author = {Kazuhiro Hikami},
journal= {arXiv preprint arXiv:math-ph/0305039},
year = {2007}
}
备注
24 pages