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arXiv · 2304.05628

Bounding the Lagrangian Hofer metric via barcodes

Patricia Dietzsch
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Abstract

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.

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Patricia Dietzsch. 2023-04-12. Bounding the Lagrangian Hofer metric via barcodes. https://arxiv.org/abs/2304.05628

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