12,000

We have over 12,000 students, from over 100 countries, within one of the safest campuses in the UK

93%

93% of Lancaster students go into work or further study within six months of graduating

Home > Research > Publications & Outputs > Formal geometry and combinatorics of the Maurer...
View graph of relations

« Back

Formal geometry and combinatorics of the Maurer-Cartan equation

Research output: Contribution to journalJournal article

Published

Journal publication date2013
JournalLetters in Mathematical Physics
Journal number1
Volume103
Number of pages34
Pages79–112
Early online date10/10/12
Original languageEnglish

Abstract

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.