Abstract

We prove that the image of the mapping class group by the representations arising in the SU(2)-TQFT is infinite, provided that the genus g ≥ 2 and the level of the theory r≠2,3,4,6 (and r≠10 for g = 2). In particular it follows that the quotient groups M_g ∕ N(t^r) by the normalizer of the r-th power of a Dehn twist t are infinite if g ≥ 3 and r≠2,3,4,6,8,12.

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