Combinatorics and formal geometry of the master equation

Abstract

We give a general treatment of the master equation in homotopy algebras and describe the operads and formal differential geometric objects governing the corresponding algebraic structures. We show that the notion of Maurer-Cartan twisting is encoded in certain automorphisms of these universal objects.

Cited by in corpus (4)

• The character map in (twisted differential) non-abelian cohomology
• Nonabelian higher derived brackets
• Algebraic models of local period maps and Yukawa algebras
• Unimodular homotopy algebras and Chern-Simons theory