Bounding the Lagrangian Hofer metric via barcodes
Symplectic Geometry
2023-04-13 v1
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.
Keywords
Cite
@article{arxiv.2304.05628,
title = {Bounding the Lagrangian Hofer metric via barcodes},
author = {Patricia Dietzsch},
journal= {arXiv preprint arXiv:2304.05628},
year = {2023}
}
Comments
15 pages, 10 figures