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Homological interprétations of quantum invariants

Homological interprétations of quantum invariants

We provide homological interpretations for some quantum invariants. We recall basic notions involved in this work: topological ones on one hand (braids, mapping class groups, and homological representations of the latter) and algebaic ones on the other hand (Hopf algebra, quantum groups, categories of modules, braiding). Then, we study small …