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arxiv: 1205.5970 · v1 · pith:LF2OIXVKnew · submitted 2012-05-27 · 🧮 math.QA · hep-th· math.AT

Combinatorics and formal geometry of the master equation

classification 🧮 math.QA hep-thmath.AT
keywords equationformalmasterobjectsalgebraicalgebrasautomorphismscertain
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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.

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