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On loop spaces of configuration spaces

By F. R. Cohen and S. Gitler


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”. 1

Year: 2013
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