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IMAGES OF QUANTUM REPRESENTATIONS OF MAPPING CLASS GROUPS AND DUPONT–GUICHARDET–WIGNER QUASI-HOMOMORPHISMS
We prove that either the images of the mapping class groups by quantum representations are not isomorphic to higher rank lattices or else the kernels have a large number of normal generators. Further, we show that the images of the mapping class groups have non-trivial 2-cohomology, at least for small …