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

研究成果: Contribution to journal › Article

22 引用（Scopus）

抜粋

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	https://doi.org/10.1007/s00220-004-1046-2
出版物ステータス	出版済み - 4 1 2004
外部発表	Yes

All Science Journal Classification (ASJC) codes

Statistical and Nonlinear Physics
Mathematical Physics

文献にアクセス

10.1007/s00220-004-1046-2

フィンガープリント Quantum Invariant for Torus Link and Modular Forms' の研究トピックを掘り下げます。これらはともに一意のフィンガープリントを構成します。

これを引用

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

@article{2535e266a4e84db29b790bee20fe8fed,

title = "Quantum Invariant for Torus Link and Modular Forms",

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",

year = "2004",

month = apr,

day = "1",

doi = "10.1007/s00220-004-1046-2",

language = "English",

volume = "246",

pages = "403--426",

journal = "Communications in Mathematical Physics",

issn = "0010-3616",

publisher = "Springer New York",

number = "2",

}

TY - JOUR

T1 - Quantum Invariant for Torus Link and Modular Forms

AU - Hikami, Kazuhiro

PY - 2004/4/1

Y1 - 2004/4/1

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=2142806648&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=2142806648&partnerID=8YFLogxK

U2 - 10.1007/s00220-004-1046-2

DO - 10.1007/s00220-004-1046-2

M3 - Article

AN - SCOPUS:2142806648

VL - 246

SP - 403

EP - 426

JO - Communications in Mathematical Physics

JF - Communications in Mathematical Physics

SN - 0010-3616

IS - 2

ER -