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Derived deformation functors, Koszul duality, and Maurer-Cartan spaces

Year: 2025
Type: preprint
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.
Language: English
Open Access status: green
OpenAlex ID: W6979340768
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