González and Landweber (Vol. 14 No. 2 2010)


Cohomology groups of con guration spaces of pairs of points in real projective spaces 
Jesús González and Peter Landweber

The Stiefel manifold of 2-frames in a Euclidean space is acted upon by the orthogonal group O(2). By restriction, there are corresponding actions of the dihedral group of order 8 and of the rank-2 elementary 2-group. We use the Cartan-Leray spectral sequences of these actions to compute the integral homology and cohomology groups of the configuration spaces of two points (ordered and unordered) in real projective spaces.

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