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Derived deformation functors, Koszul duality, and Maurer-Cartan spaces
Published 7 Mar 2025 in math.AG, math.AT, and math.QA | (2503.05307v1)
Abstract: We summarise the chain of comparisons showing Hinich's derived Maurer-Cartan functor gives an equivalence between differential graded Lie algebras and derived Schlessinger functors on Artinian differential graded-commutative algebras. We include some motivating deformation problems and analogues for more general Koszul dual pairs of operads.
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