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Bounding the Lagrangian Hofer metric via barcodes (2304.05628v1)
Published 12 Apr 2023 in math.SG
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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