Maurer-Cartan methods -- Operad theory for filtered and complete modules -- Pre-Lie algebras and the gauge group -- The gauge origin of the twisting procedure -- The twisting procedure for operads -- Operadic twisting and graph homology -- Applications.
Summary:
"This text provides a unique overview of the Maurer-Cartan methods in algebra, geometry, topology, and mathematical physics, offering a new conceptual treatment of the twisting procedure. It includes many motivating examples to render the theory accessible to graduate students, as well as a survey of recent applications"-- Provided by publisher.
Series:
London Mathematical Society lecture note series ; 488
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