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Formal geometry and combinatorics of the Maurer-Cartan equation

Research output: Contribution to journalJournal article


Journal publication date2013
JournalLetters in Mathematical Physics
Journal number1
Number of pages34
Early online date10/10/12
Original languageEnglish


We give a general treatment of the Maurer–Cartan 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.