Some calculations involving configuration spaces of distinct points
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2 Construction and examples
For a manifold , denotes the deleted product of , i.e. minus an open tubular neighborhood of the diagonal. It is a manifold with boundary and has the standard free involution.
Definition 2.1.[of the Haefliger-Wu invariant ]
The Haefliger-Wu invariant is induced by the Gauss map, also denoted by . The Gauss map assigns to an individual embedding an equivariant map defined by the formula
The Haefliger-Wu invariant and the Gauss map are analogously defined for ; we will denote them by in this case.
5 Further discussion