Formal moduli problems with cohomological constraints
Abstract
We aim to generalize Lurie-Pridham's famous ∞-correspondence between formal moduli problems and differential graded Lie algebras to the context where some cohomological conditions are imposed. Specifically, a natural equivalence between formal moduli problems with cohomological constraints and derived cohomology jump functors is provided, thereby answering affirmatively a question posed by N. Budur and B. Wang in 1.
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