Fadell's configuration space

Given a manifold $M$, the **Fadell’s configuration space** (in topology called simply configuration space) is the manifold of $N$-tuples of pairwise distinct points in $M$.

It is important in the study of topological fibrations, in the study of arrangements of hyperplanes, of Knizhnik-Zamolodchikov connections and in study of geometry of renormalization.

- Edward Fadell, Lee Neuwirth,
*Configuration spaces*Math. Scand.**10**(1962) 111-118, MR141126, pdf - Craig Westerland,
*Configuration spaces in geometry and topology*, 2011, pdf - Graeme Segal,
*Configuration-spaces and iterated loop-spaces*, Invent. Math.**21**(1973), 213–221. MR 0331377 - Edward R. Fadell, Sufian Y. Husseini,
*Geometry and topology of configuration spaces*, Springer Monographs in Mathematics (2001), MR2002k:55038, xvi+313 pp. - F. R. Cohen, S. Gitler,
*On loop spaces of configuration spaces*, Trans. Amer. Math. Soc.**354**(2002), no. 5, 1705–1748, MR2002m:55020

Revised on September 14, 2014 07:33:00
by Tim Porter
(2.26.35.200)