The action spectrum and \(C^0\) symplectic topology

DOI10.1007/s00208-021-02183-wzbMath1471.53067arXiv1808.09790OpenAlexW3155368646MaRDI QIDQ2035577

Sobhan Seyfaddini, Lev Buhovsky, Vincent Humilière

Publication date: 25 June 2021

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1808.09790

zbMATH Keywords

spectral normArnold conjectureHofer geometrybarcodesaspherical symplectic manifoldsHamiltonian homeomorphisms

Mathematics Subject Classification ID

Symplectic and contact topology in high or arbitrary dimension (57R17) Global theory of symplectic and contact manifolds (53D35)

Related Items (10)

An Arnold-type principle for non-smooth objects ⋮ Hamiltonian pseudo-rotations of projective spaces ⋮ Viterbo conjecture for Zoll symmetric spaces ⋮ Symplectic cohomology and a conjecture of Viterbo ⋮ Proof of the simplicity conjecture ⋮ Hamiltonian no-torsion ⋮ Approximate identities and Lagrangian Poincaré recurrence ⋮ Barcodes and area-preserving homeomorphisms ⋮ Bounds on spectral norms and barcodes ⋮ Persistence modules, symplectic Banach–Mazur distance and Riemannian metrics

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