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math.AT2023
Operadic Deformation Theory
Ricardo Campos, Albin Grataloup
This is a survey on recent progress in algebraic deformation theory and the application of algebraic operads to its study. We review the classical homotopical tools in the theory o…
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.AT2021
Lie algebroids are curved Lie algebras
Damien Calaque, Ricardo Campos, Joost Nuiten
We show that there is an equivalence of -categories between Lie algebroids and certain kinds of curved Lie algebras. For this we develop a method to study the -cate…