Reshetikhin-Turaev invariants of Seifert 3-manifolds for classical simple Lie algebras

被引：20

作者：

Hansen, SK

Takata, T

机构：

[1] Max Planck Inst Math, D-53111 Bonn, Germany

[2] Niigata Univ, Fac Sci, Dept Math, Niigata 9502181, Japan

来源：

JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS | 2004年 / 13卷 / 05期

关键词：

quantum invariants; Seifert manifolds; quantum groups; asymptotic expansions;

D O I：

10.1142/S0218216504003342

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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].

引用

页码：617 / 668

页数：52