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

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.

22 pages

References in corpus (1)

• The two-eigenvalue problem and density of Jones representation of braid groups

Cited by in corpus (10)

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• Enlarged symmetry algebras of spin chains, loop models, and S-matrices
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• Approximating Turaev-Viro 3-manifold invariants is universal for quantum computation
• Integral TQFT for a one-holed torus
• All finite groups are involved in the Mapping Class Group
• Quantum invariants of random 3-manifolds
• Congruence and similarity of 3-manifolds
• Profinite completions of Burnside-type quotients of surface groups