变形理论II：同伦方法综述
Review of deformation theory II: a homotopical approach
摘要：
本文从Hinich, Manetti和Pridham在同伦代数上的结果出发, 给出形变理论的一个通用方法. 特别地, 我们证明所有特征为0的形变函子被一个同伦意义下特定的分次李代数控制, 同时对任意特征的形变函子给出了非交换的类似结果.
英文摘要：
We give a general treatment of deformation theory from the point of view of homotopical algebra following Hinich, Manetti and Pridham. In particular, we show that any deformation functor in characteristic zero is controlled by a certain differential graded Lie algebra defined up to homotopy, and also formulate a noncommutative analogue of this result valid in any characteristic.
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