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

Michael Larsen, Zhenghan Wang

math.GTarXiv:math/0408161

Abstract

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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