Deformation theory via differential graded Lie algebras
Marco Manetti
TL;DR
This paper provides an introductory overview of deformation theory using differential graded Lie algebras, focusing on the Maurer-Cartan equation and related deformation functors.
Contribution
It offers a foundational explanation of how differential graded Lie algebras underpin deformation theory and the role of Maurer-Cartan elements.
Findings
Clarifies the connection between DG Lie algebras and deformation problems
Explains the Maurer-Cartan equation in the context of deformations
Describes deformation functors associated with DG Lie algebras
Abstract
It is a basic introduction to differential graded Lie algebras, Maurer-Cartan equation and associated deformation functors.
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Taxonomy
TopicsHomotopy and Cohomology in Algebraic Topology · Advanced Topics in Algebra · Nonlinear Waves and Solitons