Edward R. Fadell

Geometry and topology of configuration spaces

I. The Homotopy Theory of Configuration Spaces.- I. Basic Fibrations.- 1 The Projection projk, r :

The Two Dimensional Case

\mathbb{F}_k (M) \to \mathbb{F}_r (M)

The space of loops on configuration spaces and the Majer-Terracini index

.- 2 Relations to Homogeneous Spaces G/H.- 3 The Pull-back to On+1, r.- 4

Configuration spaces on punctured manifolds

\mathbb{F}_{k - 1,1} (\mathbb{R}^{n + 1} )

The Algebra H *(Ω{\Bbb F} k (M)))

Restricted to On+1,r.- 5 Historical Remarks.- II. Configuration Space of ?n+1, n 1