Quantum invariants of Seifert 3–manifolds and their asymptotic expansions
نویسندگان
چکیده
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 J. E. Andersen [1], [2]. AMS Classification 57M27; 17B37, 18D10, 41A60
منابع مشابه
Reshetikhin–Turaev invariants of Seifert 3–manifolds for classical simple Lie algebras, and their asymptotic expansions
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. Our results are in ...
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