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arXiv · 2412.18361

On a generalized Monge-Amp\`ere equation on closed almost K\"ahler surfaces

Ken Wang·Zuyi Zhang·Tao Zheng·Peng Zhu
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Abstract

We show the existence and uniqueness of solutions to a generalized Monge-Amp\`{e}re equation on closed almost K\"ahler surfaces, where the equation depends only on the underlying almost K\"ahler structure. As an application, we prove Donaldson's conjecture for tamed almost complex 4-manifolds.

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Ken Wang, Zuyi Zhang, Tao Zheng, Peng Zhu. 2024-12-24. On a generalized Monge-Amp\`ere equation on closed almost K\"ahler surfaces. https://arxiv.org/abs/2412.18361

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