19 citations · 51 across the 9 of their papers we have counts for
9 papers
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…
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…
Lie, associative and commutative quasi-isomorphism
Ricardo Campos, Dan Petersen, Daniel Robert-Nicoud +1
Over a field of characteristic zero, we show that two commutative differential graded (dg) algebras are quasi-isomorphic if and only if they are quasi-isomorphic as associative dg…
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…
Convolution algebras and the deformation theory of infinity-morphisms
Daniel Robert-Nicoud, Felix Wierstra
Given a coalgebra C over a cooperad, and an algebra A over an operad, it is often possible to define a natural homotopy Lie algebra structure on hom(C,A), the space of linear maps…
A model structure for the Goldman-Millson theorem
Daniel Robert-Nicoud
By a result of Vallette, we put a sensible model structure on the category of conilpotent Lie coalgebras. This gives us a powerful tool to study the subcategory of Lie algebras obt…