TY - JOUR
T1 - Quantum Invariant for Torus Link and Modular Forms
AU - Hikami, Kazuhiro
N1 - Copyright:
Copyright 2008 Elsevier B.V., All rights reserved.
PY - 2004/4
Y1 - 2004/4
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 -