Reshetikhin-Turaev invariants of Seifert 3-manifolds for classical simple Lie algebras, and their asymptotic expansions

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dc.creatorHansen, S. K.
dc.creatorTakata, T.
dc.date2002-09-30
dc.date2003-02-02
dc.date.accessioned2026-07-07T04:51:22Z
dc.date.available2026-07-07T04:51:22Z
dc.descriptionWe derive formulas for the Reshetikhin-Turaev invariants of all oriented Seifert manifolds associated to an arbitrary complex finite dimensional simple Lie algebra $\mathfrak g$ in terms of the Seifert invariants and standard data for $\mathfrak g$. A main corollary is a determination of the full asymptotic expansions of these invariants for lens spaces in the limit of large quantum level. Our results are in agreement with the asymptotic expansion conjecture due to J. E. Andersen.
dc.description61 pages, 3 figures, comments added in the introduction, the bibliography changed slightly, minor changes in notation, some misprints corrected
dc.identifierhttps://arxiv.org/abs/math/0209403
dc.identifierhttp://arxiv.org/abs/math/0209403
dc.identifierJ. Knot Theory Ramifications 13 (2004), no. 5, 617--668
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/65119
dc.subjectGeometric Topology
dc.subject57M27(Primary), 17B37, 18D10, 41A60(Secondary)
dc.titleReshetikhin-Turaev invariants of Seifert 3-manifolds for classical simple Lie algebras, and their asymptotic expansions
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