Formal moduli problems with cohomological constraints

An Khuong Doan

Formal moduli problems with cohomological constraints

Algebraic Geometry 2025-09-29 v2

Authors: An Khuong Doan

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}.

Keywords

cohomology theory functors in category theory modular forms

Cite

@article{arxiv.2209.12432,
  title  = {Formal moduli problems with cohomological constraints},
  author = {An Khuong Doan},
  journal= {arXiv preprint arXiv:2209.12432},
  year   = {2025}
}