Quantum Knot Invariant for Torus Link and Modular Forms
Hikami, Kazuhiro
arXiv, 0305039 / Harvested from arXiv
Text on arXiv
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.
Publié le : 2003-05-19
Classification:  Mathematical Physics,  Mathematics - Geometric Topology 
@article{0305039,
     author = {Hikami, Kazuhiro},
     title = {Quantum Knot Invariant for Torus Link and Modular Forms},
     journal = {arXiv},
     volume = {2003},
     number = {0},
     year = {2003},
     language = {en},
     url = {http://dml.mathdoc.fr/item/0305039}
}

Hikami, Kazuhiro. Quantum Knot Invariant for Torus Link and Modular Forms. arXiv, Tome 2003 (2003) no. 0, . http://gdmltest.u-ga.fr/item/0305039/