3 papers
math.QA2025
Universal constructions in homotopical algebra
Ricardo Campos, Bruno Vallette
We apply the effective integration theory of Lie-graph algebras, developed recently by the authors, to the deformation and homotopy theories of types of bialgebras, that is structu…
math.QA2025
Integration theory of Lie-graph algebras
Ricardo Campos, Bruno Vallette
We develop the Lie theory of Lie-admissible algebras whose product is enriched with higher operations modeled on directed graphs with a view to apply it to the deformation theories…
math.AT2025
A Deligne conjecture for prestacks
Ricardo Campos, Lander Hermans
We prove an analog of the Deligne conjecture for prestacks. We show that given a prestack , its Gerstenhaber--Schack complex is nat…