Journal of Modern Dynamics (JMD)

Spectral killers and Poisson bracket invariants

Pages: 51 - 66, Volume 9, 2015      doi:10.3934/jmd.2015.9.51

       Abstract        References        Full Text (839.3K)       Related Articles       

Sobhan Seyfaddini - Department of Mathematics, Massachusetts Institute of Technology, 77 Massachusetts Avenue, Cambridge, MA 02139-4307, United States (email)

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.

Keywords:  Symplectic manifolds, partitions of unity, Poisson bracket, spectral killers.
Mathematics Subject Classification:  Primary: 53D40; Secondary: 37J05.

Received: May 2014;      Revised: October 2014;      Available Online: May 2015.