Spectral killers and Poisson bracket invariants

Abstract

We find optimal upper bounds for spectral invariants of a Hamiltonian whose support is contained in a union of mutually disjoint displaceable balls. This gives a partial answer to a question posed by Leonid Polterovich in connection with his recent work on Poisson bracket invariants of coverings.

16 pages, 2 figures. V2: to appear in Journal of Modern Dynamics

References in corpus (2)

• Symplectic geometry of quantum noise
• Quantum unsharpness and symplectic rigidity

Cited by in corpus (4)

• Towards a dynamical interpretation of Hamiltonian spectral invariants on surfaces
• Barcodes and area-preserving homeomorphisms
• Floer theory of disjointly supported Hamiltonians on symplectically aspherical manifolds
• On the supports in the Humilière completion and $\gamma$-coisotropic sets