Combinatorics and formal geometry of the master equation

Published 27 May 2012 in math.QA, hep-th, and math.AT | (1205.5970v1)

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.

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