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A $\operatorname{dg}$ Lie model for relative homotopy automorphisms
Homology, Homotopy and Applications ( IF 0.5 ) Pub Date : 2020-03-25 , DOI: 10.4310/hha.2020.v22.n2.a6
Alexander Berglund 1 , Bashar Saleh 1
Affiliation  

We construct a $\operatorname{dg}$ Lie algebra model for the universal cover of the classifying space of the grouplike monoid of homotopy automorphisms of a space that fix a given subspace. We derive the model from a known model for based homotopy automorphisms together with general result on rational models for geometric bar constructions.

中文翻译:

相对同伦自同构的$ \ operatorname {dg} $ Lie模型

我们构造一个\\ operatorname {dg} $ Lie代数模型,用于固定可固定给定子空间的空间的同构自同构的群状类同态的分类空间的通用覆盖。我们从基于同伦自同构的已知模型以及几何杆构造的有理模型的一般结果中得出模型。
更新日期:2020-03-25
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