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math.AT2022
Commutative homotopical algebra embeds into non-commutative homotopical algebra
Ricardo Campos, Dan Petersen, Daniel Robert-Nicoud +1
Over a field of characteristic zero, we show that the forgetful functor from the homotopy category of commutative dg algebras to the homotopy category of dg associative algebras is…
math.AT2020
Higher Lie theory
Daniel Robert-Nicoud, Bruno Vallette
We present a novel approach to the problem of integrating homotopy Lie algebras by representing the Maurer-Cartan space functor with a universal cosimplicial object. This recovers…
math.AT2018
Operads and Maurer-Cartan spaces
Daniel Robert-Nicoud
This thesis is divided into two parts. The first one is composed of recollections on operad theory, model categories, simplicial homotopy theory, rational homotopy theory, Maurer-C…