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arXiv · 2209.12432

Formal moduli problems with cohomological constraints

An Khuong Doan
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Abstract

We aim to generalize Lurie-Pridham's famous $\infty$-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 \cite{1}.

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An Khuong Doan. 2022-09-26. Formal moduli problems with cohomological constraints. https://arxiv.org/abs/2209.12432

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