Formal geometry and combinatorics of the Maurer-Cartan equation

Chuang, Joseph and Lazarev, Andrey (2013) Formal geometry and combinatorics of the Maurer-Cartan equation. Letters in Mathematical Physics, 103 (1). 79–112. ISSN 0377-9017

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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.

Item Type:
Journal Article
Journal or Publication Title:
Letters in Mathematical Physics
Uncontrolled Keywords:
/dk/atira/pure/core/keywords/mathsandstatistics
Subjects:
?? differential graded lie algebramaurer–cartan element a-infinity algebra l-infinity algebra operadtwistingmathematics and statisticsmathematical physicsstatistical and nonlinear physicsqa mathematics ??
ID Code:
59758
Deposited By:
Deposited On:
31 Oct 2012 11:10
Refereed?:
Yes
Published?:
Published
Last Modified:
15 Jul 2024 13:22