Quantum invariants of Seifert 3-manifolds and their asymptotic expansions

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We 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/].
Published by Geometry and Topology Monographs at http://www.maths.warwick.ac.uk/gt/GTMon4/paper6.abs.html

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Geometric Topology, Quantum Algebra, 57M27, 17B37, 18D10, 41A60

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http://salesiana.dossiersoluciones.com/handle/123456789/65135

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0210011
 http://arxiv.org/abs/math/0210011
 Geom. Topol. Monogr. 4 (2002) 69-87

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arXiv