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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
Published
by: American Mathematical Society
https://www.jstor.org/stable/2693715
Page Count: 44
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Topics: Algebra, Mathematical theorems, Braiding, Mathematical manifolds, Coordinate systems, Morphisms, Tangents, Mathematical rings, Maps, Commutativity
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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".
Transactions of the American Mathematical Society
© 2002 American Mathematical Society