Spectral killers and Poisson bracket invariants
Sobhan Seyfaddini
TL;DR
This paper establishes optimal upper bounds for spectral invariants of Hamiltonians supported on disjoint displaceable balls, addressing a question related to Poisson bracket invariants posed by Polterovich.
Contribution
It provides new bounds for spectral invariants in symplectic geometry, advancing understanding of Poisson bracket invariants and Hamiltonian dynamics.
Findings
Derived optimal upper bounds for spectral invariants
Connected bounds to Poisson bracket invariants
Addressed a question posed by Polterovich
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.
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