English

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

Geometric Topology 2009-11-10 v2 Quantum Algebra

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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Cite

@article{arxiv.math/0408161,
  title  = {Density of the SO(3) TQFT representation of mapping class groups},
  author = {Michael Larsen and Zhenghan Wang},
  journal= {arXiv preprint arXiv:math/0408161},
  year   = {2009}
}

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22 pages