A COMPARISON OF SYMPLECTIC HOMOGENIZATION AND CALABI QUASI-STATES

DOI10.1142/S1793525311000581zbMath1235.28002arXiv1008.2449MaRDI QIDQ3094723

Frol Zapolsky, Alexandra Monzner

Publication date: 25 October 2011

Published in: Journal of Topology and Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1008.2449

zbMATH Keywords

symplectic manifoldtopological measurequasi-stateHofer geometrysymplectic homogenizationquasi-integral

Mathematics Subject Classification ID

Symplectic manifolds (general theory) (53D05) Integration with respect to measures and other set functions (28A25) Global theory of symplectic and contact manifolds (53D35) States of selfadjoint operator algebras (46L30)

Related Items (7)

A note on partial quasi-morphisms and products in Lagrangian Floer homology in cotangent bundles ⋮ Viterbo conjecture for Zoll symmetric spaces ⋮ Symplectic cohomology and a conjecture of Viterbo ⋮ Spectral invariants for monotone Lagrangians ⋮ A brief survey of the spectral numbers in floer homology ⋮ Quasi-linear functionals on locally compact spaces ⋮ Symplectic homogenization

Cites Work

• Quasi-morphisms and the Poisson bracket
• Commuting Hamiltonians and Hamilton-Jacobi multi-time equations
• Quasi-measures on completely regular spaces
• On the asymptotic geometry of area-preserving maps
• Quasi-states and quasi-measures
• Quasi-measures and dimension theory
• Action-minimizing measures and the geometry of the Hamiltonian diffeomorphism group.
• Quasi-states and the Poisson bracket on surfaces
• Calabi quasi-morphisms for some non-monotone symplectic manifolds
• Spaces of Quasi-Measures
• Unbounded quasi-integrals

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