Séminaires : Séminaire de Topologie

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The problem of delooping of the spaces of disc embeddings relative to the boundary is an important problem in differential topology. I will recall my and J. Ducoulombier's approach to this problem as well as some recent applications of our work that were noticed after our paper was published. I will then state a relative version of that result that gives delooping of concordance embedding spaces. The method in question relates derived mapping spaces of operadic bimodules and that of operadic infinitesimal bimodules in the cases of one- and two-colored operads.