... HF∞(Y,s), and HFred(Y,s) usingHeegaard splittings of Y . For calculations and applications of these invariants,we refer the reader to the sequel, [28].Recall that a Heegaard splitting of Y is a ... ω0(·,J·)determines a nondegenerate quadratic form on each tangent space T Σ×g.Applying Inequality (6) for the form ω1= π∗(ω), and combining this withInequality (3), we find a constant C0with ... 2.14. For a pointed Heegaard diagram (Σ, α, β,z), a periodicdomain is a two-chain P =mi=1 a iDiwhose boundary is a sum of α- and β-curves, and whose nz(P) = 0. For each x ∈ Tα∩ Tβ, a...