Persistence modules with operators in Morse and Floer theory

zbMath1422.53074arXiv1703.01392MaRDI QIDQ5383946

Vukašin Stojisavljević, Egor Shelukhin, Leonid Polterovich

Publication date: 20 June 2019

Full work available at URL: https://arxiv.org/abs/1703.01392

zbMATH Keywords

barcodeFloer homologyHamiltonian diffeomorphismsymplectic manifoldpersistence module

Mathematics Subject Classification ID

Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Symplectic aspects of Floer homology and cohomology (53D40)

Related Items (16)

On the Hofer-Zehnder conjecture ⋮ Viterbo conjecture for Zoll symmetric spaces ⋮ Relative growth rate and contact Banach-Mazur distance ⋮ Field choice problem in persistent homology ⋮ Decomposition of pointwise finite-dimensional 𝕊1 persistence modules ⋮ Symplectic cohomology and a conjecture of Viterbo ⋮ Hamiltonian no-torsion ⋮ Persistent magnitude ⋮ On the iterated Hamiltonian Floer homology ⋮ The persistence of the Chekanov-Eliashberg algebra ⋮ Persistent homology of the sum metric ⋮ Homological algebra for persistence modules ⋮ Persistence barcodes and Laplace eigenfunctions on surfaces ⋮ A brief survey of the spectral numbers in floer homology ⋮ Bounds on the Lagrangian spectral metric in cotangent bundles ⋮ Persistence modules, symplectic Banach–Mazur distance and Riemannian metrics

This page was built for publication: Persistence modules with operators in Morse and Floer theory