Abstract
We consider an asymptotic expansion of Kashaev's invariant or of 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 a modular form of weight 3/2 which is related to the su(2)m-2 character.
Original language | English |
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Pages (from-to) | 403-426 |
Number of pages | 24 |
Journal | Communications in Mathematical Physics |
Volume | 246 |
Issue number | 2 |
DOIs | |
Publication status | Published - Apr 2004 |
Externally published | Yes |
All Science Journal Classification (ASJC) codes
- Statistical and Nonlinear Physics
- Mathematical Physics