We exhibit an infinite family of rational homology balls, which embed smoothly but not symplectically in the complex projective plane. We also obtain a new lattice embedding obstruction from Donaldson’s diagonalization theorem and use this to show that no two of our examples may be embedded disjointly.

中文翻译：

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复杂射影平面上有理球的光滑非辛嵌入

我们展示了一个无限的有理同源球家族，它们平滑地嵌入但并不刻意地嵌入复杂的投影平面中。我们还从唐纳森的对角化定理中获得了一个新的格状嵌入障碍物，并用它来证明我们的两个例子都不能不相交地嵌入。