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 ??

Departments:

Faculty of Science and Technology > Mathematics and Statistics

ID Code:

59758

Deposited By:

ep_importer_pure

Deposited On:

31 Oct 2012 11:10

Refereed?:

Yes

Published?:

Published

Last Modified:

15 Jul 2024 13:22

URI:

https://eprints.lancs.ac.uk/id/eprint/59758