Abstract
Given a space X where a group G acts freely, consider the n-coordinated configuration space FGn(X), consisting of the n-tuples (x1,...,xn) in X^n such that the intersection between Gxi and Gxj is empty for every i different from j. The relevance of this space is well known. For example, if G is the trivial group, the fundamental group is the n-string braid group of X. Besides that, many q…