Quantum Invariant for Torus Link and Modular Forms

Kazuhiro Hikami

Research output: Contribution to journal › Article

21 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 languageEnglish
Pages (from-to)403-426
Number of pages24
JournalCommunications in Mathematical Physics
Volume246
Issue number2
DOIs
Publication statusPublished - Apr 1 2004
Externally publishedYes

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Quantum Invariants
Modular Forms
unity
Torus
expansion
Invariant
Q-series
Roots of Unity
Asymptotic Expansion

All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Mathematical Physics

Cite this

Quantum Invariant for Torus Link and Modular Forms. / Hikami, Kazuhiro.

In: Communications in Mathematical Physics, Vol. 246, No. 2, 01.04.2004, p. 403-426.

Research output: Contribution to journal › Article

Hikami, K 2004, 'Quantum Invariant for Torus Link and Modular Forms', Communications in Mathematical Physics, vol. 246, no. 2, pp. 403-426. https://doi.org/10.1007/s00220-004-1046-2
Hikami K. Quantum Invariant for Torus Link and Modular Forms. Communications in Mathematical Physics. 2004 Apr 1;246(2):403-426. https://doi.org/10.1007/s00220-004-1046-2
Hikami, Kazuhiro. / Quantum Invariant for Torus Link and Modular Forms. In: Communications in Mathematical Physics. 2004 ; Vol. 246, No. 2. pp. 403-426.
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