Quantum Invariant for Torus Link and Modular Forms

Kazuhiro Hikami

doi:10.1007/s00220-004-1046-2

Quantum Invariant for Torus Link and Modular Forms

Kazuhiro Hikami

Research output: Contribution to journal › Article › peer-review

27 Citations (Scopus)

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
Pages (from-to)	403-426
Number of pages	24
Journal	Communications in Mathematical Physics
Volume	246
Issue number	2
DOIs	https://doi.org/10.1007/s00220-004-1046-2
Publication status	Published - Apr 2004
Externally published	Yes

All Science Journal Classification (ASJC) codes

Statistical and Nonlinear Physics
Mathematical Physics

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10.1007/s00220-004-1046-2

Cite this

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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.",

author = "Kazuhiro Hikami",

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Quantum Invariant for Torus Link and Modular Forms

Abstract

All Science Journal Classification (ASJC) codes

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