\(p\)-cyclic persistent homology and Hofer distance

DOI10.4310/JSG.2019.v17.n3.a7zbMath1427.53096arXiv1605.07594OpenAlexW2972668866MaRDI QIDQ2272476

Jun Zhang

Publication date: 10 September 2019

Published in: The Journal of Symplectic Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1605.07594

zbMATH Keywords

barcodeHofer metricpersistence homologyFloer theoryautonomous Hamiltonian diffeomorphismHamitonian diffeomorphism

Mathematics Subject Classification ID

Symplectic manifolds (general theory) (53D05) Elliptic cohomology (55N34) Symplectic aspects of Floer homology and cohomology (53D40) Manifolds of metrics (especially Riemannian) (58D17)

Related Items (8)

Viterbo conjecture for Zoll symmetric spaces ⋮ Relative growth rate and contact Banach-Mazur distance ⋮ Hofer's geometry and topological entropy ⋮ Symplectic cohomology and a conjecture of Viterbo ⋮ On the iterated Hamiltonian Floer homology ⋮ A brief survey of the spectral numbers in floer homology ⋮ Bounds on spectral norms and barcodes ⋮ Persistence modules, symplectic Banach–Mazur distance and Riemannian metrics

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