%0 Journal Article
%T The Calabi-Yau equation on the Kodaira-Thurston manifold
%A Valentino Tosatti
%A Ben Weinkove
%J Mathematics
%D 2009
%I arXiv
%R 10.1017/S1474748010000289
%X 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.
%U http://arxiv.org/abs/0906.0634v1