Quantum invariants of Seifert 3-manifolds and their asymptotic expansions

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dc.creatorHansen, Soren Kold
dc.creatorTakata, Toshie
dc.date2002-10-01
dc.date.accessioned2026-07-07T04:51:24Z
dc.date.available2026-07-07T04:51:24Z
dc.descriptionWe report on recent results of the authors concerning calculations of quantum invariants of Seifert 3-manifolds. These results include a derivation of the Reshetikhin-Turaev invariants of all oriented Seifert manifolds associated with an arbitrary complex finite dimensional simple Lie algebra, and a determination of the asymptotic expansions of these invariants for lens spaces. Our results are in agreement with the asymptotic expansion conjecture due to JE Andersen [The Witten invariant of finite order mapping tori I, to appear in J. Reine Angew. Math.] and [The asymptotic expansion conjecture, from `Problems on invariants of knots and 3--manifolds', edited by T. Ohtsuki, http://www.ms.u-tokyo.ac.jp/~tomotada/proj01/].
dc.descriptionPublished by Geometry and Topology Monographs at http://www.maths.warwick.ac.uk/gt/GTMon4/paper6.abs.html
dc.identifierhttps://arxiv.org/abs/math/0210011
dc.identifierhttp://arxiv.org/abs/math/0210011
dc.identifierGeom. Topol. Monogr. 4 (2002) 69-87
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/65135
dc.subjectGeometric Topology
dc.subjectQuantum Algebra
dc.subject57M27, 17B37, 18D10, 41A60
dc.titleQuantum invariants of Seifert 3-manifolds and their asymptotic expansions
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