Persistence modules, symplectic Banach–Mazur distance and Riemannian metrics

DOI10.1142/S0129167X21500403zbMath1472.53094arXiv1810.11151WikidataQ115246500 ScholiaQ115246500MaRDI QIDQ5006356

Jun Zhang, Vukašin Stojisavljević

Publication date: 13 August 2021

Published in: International Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1810.11151

zbMATH Keywords

Riemannian metricssymplectic homologybarcodespersistence modulessymplectic Banach-Mazur distance

Mathematics Subject Classification ID

Geodesic flows in symplectic geometry and contact geometry (53D25) Applied homological algebra and category theory in algebraic topology (55U99) Canonical transformations in symplectic and contact geometry (53D22)

Related Items (5)

\(C^0\)-robustness of topological entropy for geodesic flows ⋮ Symplectic Banach–Mazur distances between subsets of ℂn ⋮ Viterbo conjecture for Zoll symmetric spaces ⋮ Relative growth rate and contact Banach-Mazur distance ⋮ Symplectic cohomology and a conjecture of Viterbo

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