ON THE ASYMPTOTIC EXPANSION OF THE QUANTUM SU(2) INVARIANT AT ζ = e^4πi/r FOR LENS SPACE L (p, q)

Abstract

We give a formula for the quantum SU(2) invariant at ζ = e^4πi/r for Lens space L(p, q), and we prove that the asymptotic expansion is represented by a sum of contributions from SL₂C flat connections whose coefficients are square roots of the Reidemeister torsions.