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arXiv · 2208.07916

Symplectic mapping class groups of blowups of tori

Gleb Smirnov
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Abstract

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

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Gleb Smirnov. 2023-06-13. Symplectic mapping class groups of blowups of tori. https://arxiv.org/abs/2208.07916

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