论文标题

托里爆炸的符号映射类

Symplectic mapping class groups of blowups of tori

论文作者

Smirnov, Gleb

论文摘要

让$ω$为真正的$ 4 $ -torus $ t^4 $的Kaehler形式。假设$ω$满足非理性条件,这可以通过$ω$的任意小扰动来实现。本说明表明,$(t^4,ω)$的单点符号爆炸的平稳符号映射类组是无限生成的。

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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