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arXiv · 0906.0634

The Calabi-Yau equation on the Kodaira-Thurston manifold

Valentino Tosatti·Ben Weinkove
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Abstract

We prove that the Calabi-Yau equation can be solved on the Kodaira-Thurston manifold for all given $T^2$-invariant volume forms. This provides support for Donaldson's conjecture that Yau's theorem has an extension to symplectic four-manifolds with compatible but non-integrable almost complex structures.

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Valentino Tosatti, Ben Weinkove. 2009-06-03. The Calabi-Yau equation on the Kodaira-Thurston manifold. https://doi.org/10.1017/s1474748010000289

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