论文标题
多重链条和配置空间
Multisimplicial chains and configuration spaces
论文作者
论文摘要
本文介绍了对简单和立方组链上的先前定义的$ e_ \ infty $ -Coalgebra结构的多颗粒集的概括。我们专注于McClure-Smith的陈述链复合物作为一个主要的例子，并构建了保留$ e_ \ eftty $ -Coalgebras的准复杂性的锯齿形，将它们与配置空间和Barratt-barratt-ecccle-ecccle-ecccles Chain Complexes上的奇异链有关。
This paper presents a generalization to multisimplicial sets of previously defined $E_\infty$-coalgebra structures on the chains of simplicial and cubical sets. We focus on the surjection chain complexes of McClure--Smith as a main example and construct a zig-zag of complexity preserving quasi-isomorphisms of $E_\infty$-coalgebras relating these to both the singular chains on configuration spaces and the Barratt--Eccles chain complexes.
