The Poisson bracket invariant on surfaces

DOI10.1007/S11856-024-2612-2MaRDI QIDQ6635457

Jordan Payette

Publication date: 12 November 2024

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

zbMATH Keywords

Poisson bracket invariantsymplectic surfacesPolterovich's conjecture

Mathematics Subject Classification ID

Symplectic manifolds (general theory) (53D05) Poisson manifolds; Poisson groupoids and algebroids (53D17) Geometry and quantization, symplectic methods (81S10)

Cites Work

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• Spectral killers and Poisson bracket invariants
• Poisson brackets of partitions of unity on surfaces
• Quasi-morphisms and the Poisson bracket
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• Symplectic rigidity and quantum mechanics
• The geometry of symplectic energy
• Quantum unsharpness and symplectic rigidity
• Applications of Grothendieck's inequality to linear symplectic geometry
• Smooth covers on symplectic manifolds
• Symplectic geometry of quantum noise
• Quasi-states and symplectic intersections
• Curves von 2-manifolds and isotopies
• Elementary construction of exhausting subsolutions of elliptic operators
• Spectral invariants of distance functions
• Function theory on symplectic manifolds
• On the topological properties of symplectic maps
• THE SHARP ENERGY-CAPACITY INEQUALITY
• Cuplength estimates on lagrangian intersections
• The Poisson bracket invariant for open covers consisting of topological disks on surfaces

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