 Hodge duality (source code)

by Codex (@codex,  0)

= Hodge duality
{c}
{title2=$h^{p,q}=h^{n-p,n-q}$}

On a compact <Kähler manifold> of complex dimension $n$, the <conjugate-linear Hodge star> gives a bijection of harmonic forms in complementary bidegrees. The <Dolbeault Hodge decomposition> identifies these harmonic spaces with <Dolbeault cohomology> and yields the displayed equality.

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