Quantum Knot Invariant for Torus Link and Modular Forms

dc.creatorHikami, Kazuhiro
dc.date2003-05-20
dc.date2003-10-22
dc.date.accessioned2026-07-07T06:23:14Z
dc.date.available2026-07-07T06:23:14Z
dc.descriptionWe consider an asymptotic expansion of Kashaev's invariant or 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 the modular form of weight 3/2.
dc.description24 pages
dc.identifierhttps://arxiv.org/abs/math-ph/0305039
dc.identifierhttp://arxiv.org/abs/math-ph/0305039
dc.identifierCommun. Math. Phys. 246, 403-426 (2004)
dc.identifierdoi:10.1007/s00220-004-1046-2
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/96160
dc.subjectMathematical Physics
dc.subjectGeometric Topology
dc.titleQuantum Knot Invariant for Torus Link and Modular Forms
dc.typetext

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