A G ] 7 M ar 2 00 4 Configuration spaces of C and CP 1 : some analytic properties

Abstract

I mean... You know... We study certain analytic properties of the ordered and unordered configuration spaces Cn o (X) = {(q1, ..., qn) ∈ X | qi 6= qj ∀ i 6= j} and Cn(X) = {Q ⊂ X | #Q = n} of simply connected algebraic curves X = C and X = CP. For n ≥ 3 the braid group Bn(X) = π1(C(X)) of the curve X is non-abelian. A map F : Cn(X) → Ck(X) is called cyclic… (More)

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