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arXiv · 2503.05307

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

J. P. Pridham
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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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J. P. Pridham. 2025-03-07. Derived deformation functors, Koszul duality, and Maurer-Cartan spaces. https://arxiv.org/abs/2503.05307

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