论文标题
磁盘保护面积差异的渐近作用和渐近绕组数
Asymptotic action and asymptotic winding number for area-preserving diffeomorphisms of the disk
论文作者
论文摘要
鉴于磁盘的紧凑型区域保护区扩散性，我们证明了一个不可或缺的公式，该公式将渐近作用与渐近绕组数有关。作为推论，我们获得了Fathi在磁盘上同构的整体公式的新证明。
Given a compactly supported area-preserving diffeomorphism of the disk, we prove an integral formula relating the asymptotic action to the asymptotic winding number. As a corollary, we obtain a new proof of Fathi's integral formula for the Calabi homomorphism on the disk.
