%0 Journal Article
%T On Perturbative PSU(n) Invariants of Rational Homology 3-Spheres
%A Thang T. Q. Le
%J Mathematics
%D 1998
%I arXiv
%X We construct power series invariants of rational homology 3-spheres from quantum PSU(n)-invariants. The power series can be regarded as perturbative invariants corresponding to the contribution of the trivial connection in the hypothetical Witten's integral. This generalizes a result of Ohtsuki (the $n=2$ case) which led him to the definition of finite type invariants of 3-manifolds. The proof utilizes some symmetry properties of quantum invariants (of links) derived from the theory of affine Lie algebras and the theory of the Kontsevich integral.
%U http://arxiv.org/abs/math/9802032v2