Kuranishi homology and Kuranishi cohomology

Preprint English OPEN
Joyce, Dominic;
(2007)
  • Subject: Mathematics - Symplectic Geometry
    arxiv: Mathematics::Algebraic Geometry | Mathematics::Complex Variables | Mathematics::Symplectic Geometry

A Kuranishi space is a topological space with a Kuranishi structure, defined by Fukaya and Ono. Kuranishi structures occur naturally on moduli spaces of J-holomorphic curves in symplectic geometry. Let Y be an orbifold and R a commutative ring or Q-algebra. We define tw... View more
  • References (24)
    24 references, page 1 of 3

    (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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