Maurer-Cartan moduli and models for function spaces
Maurer-Cartan moduli and models for function spaces
复制标题
功能空间的 Maurer-Cartan 模数和模型
DOI：
10.1016/j.aim.2012.11.009
复制
发表时间：
2013
影响因子：
1.7
通讯作者：
Lazarev A
中科院分区：
文献类型：
--
作者：
Lazarev A
基于形式微分梯度代数（又称微分梯度余代数）上的闭模型范畴结构，建立了L∞代数及其相关扭转的Maurer-Cartan模集的形式化。除此之外，这种形式主义允许我们对Chevalley-Eilenberg和Harrison上同调给出一个紧凑且明显的同伦不变处理。我们将所开发的技术应用于构造函数空间的有理同伦模型。
We set up a formalism of Maurer–Cartan moduli sets for L∞algebras and associated twistings based on the closed model category structure on formal differential graded algebras (a.k.a. differential graded coalgebras). Among other things this formalism allows us to give a compact and manifestly homotopy invariant treatment of Chevalley–Eilenberg and Harrison cohomology. We apply the developed technology to construct rational homotopy models for function spaces.