Quantum Invariant for Torus Link and Modular Forms

Kazuhiro Hikami

研究成果: ジャーナルへの寄稿 › 記事

21 引用 (Scopus)

抄録

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.

元の言語英語
ページ（範囲）403-426
ページ数24
ジャーナルCommunications in Mathematical Physics
巻246
発行部数2
DOI
出版物ステータス出版済み - 4 1 2004
外部発表Yes

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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

これを引用

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

：: Communications in Mathematical Physics, 巻 246, 番号 2, 01.04.2004, p. 403-426.

研究成果: ジャーナルへの寄稿 › 記事

Hikami, K 2004, 'Quantum Invariant for Torus Link and Modular Forms', Communications in Mathematical Physics, 巻. 246, 番号 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 4 1;246(2):403-426. https://doi.org/10.1007/s00220-004-1046-2
Hikami, Kazuhiro. / Quantum Invariant for Torus Link and Modular Forms. ：: Communications in Mathematical Physics. 2004 ; 巻 246, 番号 2. pp. 403-426.
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