In this paper, we provide an upper bound on the Lagrangian Hofer distance between equators in the cylinder in terms of the barcode of persistent Floer homology. The bound consists of a weighted sum of the lengths of the finite bars and the spectral distance.

中文翻译：

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通过条形码限制拉格朗日霍弗度量

在本文中，我们根据持久弗洛尔同源性条形码提供了圆柱体中赤道之间的拉格朗日霍弗距离的上限。界限由有限条的长度和光谱距离的加权和组成。