Let $\omega$ be a Kähler form on the real 4-torus $T^4$. Suppose that $\omega$ satisfies an irrationality condition that can be achieved by an arbitrarily small perturbation of $\omega$. This note shows that the smoothly trivial symplectic mapping class group of the one-point symplectic blowup of $(T^4,\omega )$ is infinitely generated.

中文翻译：

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环面放大的辛映射类群

让$\omega$是实 4 环上的凯勒形式${\mathrm{时间}}^4$。假设$\omega$满足一个非理性条件，该条件可以通过任意小的扰动来实现$\omega$。本注释表明，单点辛爆炸的平滑平凡辛映射类群$（{\mathrm{时间}}^4,\omega ）$是无限生成的。