Density of the SO(3) TQFT representation of mapping class groups

Mathematics – Geometric Topology

Scientific paper

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22 pages

Scientific paper

10.1007/s00220-005-1382-x

We show that for an odd prime r > 3 and an integer g > 1, in the projective
representation given by the SO(3) Witten-Chern-Simons theory at an rth root of
unity, the image of the mapping class group of a surface of genus g is dense.

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