Models for classifying spaces and derived deformation theory

作者：Lazarev A^*

来源：Proceedings of the London Mathematical Society, 2014, 109(1): 40-64.

DOI：10.1112/plms/pdt069

Using the theory of extensions of notation=algebras, we construct rational homotopy models for classifying spaces of fibrations, giving answers in terms of classical homological functors, namely the Chevalley-Eilenberg and Harrison cohomology. We also investigate the algebraic structure of the Chevalley-Eilenberg complexes of notation= algebras and show that they possess, along with the Gerstenhaber bracket, an structure that is homotopy abelian.

• 出版日期2014-7