论文标题

正式的模量问题有共同的限制

Formal moduli problems with cohomological constraints

论文作者

Doan, An Khuong

论文摘要

我们旨在将正式模量问题与差分级别的代数之间的著名$ \ infty $ cortence概括到施加某些共同体条件的情况下。具体而言,提供了正式模量问题与共同体约束的形式问题与衍生的共同体跳跃函数之间的自然等效性,从而肯定地回答了N. Budur和B. Wang在\ cite {1}中提出的问题。

We aim to generalize Lurie'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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