拟全纯曲线的穷举Gromov compactness
Exhaustive Gromov compactness for pseudoholomorphic curves
摘要：
在这里，我们将伪全纯曲线的目标局部Gromov收敛的概念扩展到目标流形不是紧的，而是被紧邻域耗尽的情况。假设曲线的问题有一致的有界面积和属的每个紧凑的区域（但不一定是全球范围内），我们证明了一个子序列收敛在一个详尽的Gromov意义。
英文摘要：
Here we extend the notion of target-local Gromov convergence of pseudoholomorphic curves to the case in which the target manifold is not compact, but rather is exhausted by compact neighborhoods. Under the assumption that the curves in question have uniformly bounded area and genus on each of the compact regions (but not necessarily global bounds), we prove a subsequence converges in an exhaustive Gromov sense.
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