@article{14fd98c9f44e45b8be1fe680fab12bba,
title = "Reshetikhin-Turaev invariants of Seifert 3-manifolds for classical simple lie algebras",
abstract = "We derive explicit formulas for the Reshetikhin-Turaev invariants of all oriented Seifert manifolds associated to an arbitrary complex finite dimensional simple Lie algebra g in terms of the Seifert invariants and standard data for 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. This result is in agreement with the asymptotic expansion conjecture due to Andersen [1, 2].",
keywords = "Asymptotic expansions, Quantum groups, Quantum invariants, Seifert manifolds",
author = "Hansen, \{S{\o}ren Kold\} and Toshie Takata",
note = "Funding Information: This work were done while the first author was supported by a Marie Curie Fellowship of the European Commission (CEE No HPMF-CT-1999-00231) and a postdoctoral fellowship of the European Commision research network EDGE (European Differential Geometry Endeavour) (CEE No HPRN-CT-2000-00101). He acknowledge hospitality of l{\textquoteright}Institut de Recherche Math{\'e}matique Avanc{\'e}e (IRMA), Uni-versit{\'e}Louis Pasteur and C.N.R.S., Strasbourg, while being a Marie Curie Fellow, and the School of Mathematics, University of Edinburgh, while being an EDGE postdoctoral fellow. Much of this work were done while the second author visited IRMA and she also thanks this department for its hospitality. A part of this work was done while both authors visited the Research Institute for Mathematical Sciences (RIMS), Kyoto University. We would like to thank RIMS for hospitality during the special month on invariants of knots and 3-manifolds, September 2001. We also thank the organizers of this workshop for financial support during our visit. The first author thanks J. E. Andersen for helpful conversations about quantum invariants in general and about asymptotics of these invariants in particular, and both authors would like to thank T. T. Q. Le for some helpful comments. The first author was partially supported by the Danish Natural Science Research Council.",
year = "2004",
month = aug,
doi = "10.1142/S0218216504003342",
language = "English",
volume = "13",
pages = "617--668",
journal = "Journal of Knot Theory and its Ramifications",
issn = "0218-2165",
publisher = "World Scientific",
number = "5",
}