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On Perturbative PSU(n) Invariants of Rational Homology 3-Spheres

Thang T. Q. Le
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Abstract

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.

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BibTeXRIS

Thang T. Q. Le. 1998-05-25. On Perturbative PSU(n) Invariants of Rational Homology 3-Spheres. https://arxiv.org/abs/math/9802032

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