# Kuranishi homology and Kuranishi cohomology

- Published: 24 Jul 2007
- Country: United Kingdom

- University of Oxford United Kingdom

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(b) Let (U, Γ, φ), (V, Δ, ψ), p ∈ φ(U/Γ) ∩ ψ(V /Δ), (Up, Γp, φp), (Vp, Δp, ψp), ρp : Γp → Δp and σp : Up → Vp be as in Definition 2.9, and (U, Γ, φ), (V, Δ, ψ) lift to (EU , Γ, φˆ), (EV , Δ, ψˆ) on E with projections πU : EU → U , πV : EV → V as in (a). Set EUp = πU−1(Up), EVp = πV−1(Vp), so that EUp , EVp are vector bundles over Up, Vp with projections πU : EUp → Up,

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