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Approximating L 2-Signatures by Their Compact Analogues

Approximating L 2-Signatures by Their Compact Analogues

Let Γ be a group together with a sequence of normal subgroups Γ ⊃ Γ1 ⊃ Γ2... of finite index [Γ : Γk] such that ⋂k Γk = {1}. Let (X, Y) be a (compact) 4n-dimensional Poincaré pair and p : (X̄, Ȳ) → (X, Y) be a Γ-covering, i.e. …