On Finite Type Invariants of Links and Rational Homology Spheres Derived from the Jones Polynomial and Witten-Reshetikhin-Turaev Invariant

Mathematics – Quantum Algebra

Scientific paper

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25 pages, no figures, LaTeX (an appendix with the sketch of the proof of Reshetikhin's formula is added)

Scientific paper

We present a mathematically clean review of our previous results on 1/K
expansion of the colored Jones polynomial and on perturbative invariants of 3d
rational homology spheres. We also prove that perturbative invariants defined
through the stationary phase surgery formula are invariant under Kirby moves.

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