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Journal Article

On Loop Spaces of Configuration Spaces

F. R. Cohen and S. Gitler
Transactions of the American Mathematical Society
Vol. 354, No. 5 (May, 2002), pp. 1705-1748
https://www.jstor.org/stable/2693715
Page Count: 44
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On Loop Spaces of Configuration Spaces
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Abstract

This article gives an analysis of topological and homological properties for loop spaces of configuration spaces. The main topological results are given by certain choices of product decompositions of these spaces, as well as "twistings" between the factors. The main homological results are given in terms of extensions of the "infinitesimal braid relations" or "universal Yang-Baxter Lie relations".