Résumé

In joint work with D. Ðorđević, J. Nikolić and Z. Petrić we studied the question of existence of a faithful (2+1)-TQFT, that is, a functor that is injective both on surfaces and cobordisms between them. This subsumes the hard problem of finding faithful representations of mapping class groups of surfaces, so we restrict to a convenient subcategory. We give a complete algebraic description of this category, and construct a few examples of TQFTs that detect certain 3-manifolds not distinguishable by quantum invariants...

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