论文标题
关于非理性伪旋转的宗教结果的有限维度证明
A finite dimensional proof of a result of Hutchings about irrational pseudo-rotations
论文作者
论文摘要
我们证明，单位磁盘的$ c^1 $伪旋转的卡拉比不变，该磁盘与单位圆上的旋转相吻合，等于其旋转号。几年前，迈克尔·哈钦斯（Michael Hutchings）（在稍强的假设下）已经显示了这一结果。虽然原始的证明使用了嵌入式接触同源技术，但本文的证明使用了生成功能和诱导梯度流动的动力学。
We prove that the Calabi invariant of a $C^1$ pseudo-rotation of the unit disk, that coincides with a rotation on the unit circle, is equal to its rotation number. This result has been shown some years ago by Michael Hutchings (under very slightly stronger hypothesis). While the original proof used Embedded Contact Homology techniques, the proof of this article uses generating functions and the dynamics of the induced gradient flow.
