Spectral killers and Poisson bracket invariants

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.

Bibliographic Details
Main Author: Seyfaddini, Sobhan
Other Authors: Massachusetts Institute of Technology. Department of Mathematics
Format: Article
Language:en_US
Published: American Institute of Mathematical Sciences (AIMS) 2015
Online Access:http://hdl.handle.net/1721.1/98179
https://orcid.org/0000-0003-3248-9165
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author Seyfaddini, Sobhan
author2 Massachusetts Institute of Technology. Department of Mathematics
author_facet Massachusetts Institute of Technology. Department of Mathematics
Seyfaddini, Sobhan
author_sort Seyfaddini, Sobhan
collection MIT
description 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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spelling mit-1721.1/981792022-09-29T17:16:05Z Spectral killers and Poisson bracket invariants Seyfaddini, Sobhan Massachusetts Institute of Technology. Department of Mathematics Seyfaddini, Sobhan 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. Seventh Framework Programme (European Commission) (ERC Grant Agreement 307062) 2015-08-21T14:31:04Z 2015-08-21T14:31:04Z 2015-05 2014-10 Article http://purl.org/eprint/type/JournalArticle 1930-5311 http://hdl.handle.net/1721.1/98179 Seyfaddini, Sobhan. “Spectral Killers and Poisson Bracket Invariants.” JMD 9, no. 01 (May 2015): 51–66. © 2015 AIMSCIENCES https://orcid.org/0000-0003-3248-9165 en_US http://dx.doi.org/10.3934/jmd.2015.9.51 Journal of Modern Dynamics Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use. application/pdf American Institute of Mathematical Sciences (AIMS) American Institute of Mathematical Sciences (AIMS)
spellingShingle Seyfaddini, Sobhan
Spectral killers and Poisson bracket invariants
title Spectral killers and Poisson bracket invariants
title_full Spectral killers and Poisson bracket invariants
title_fullStr Spectral killers and Poisson bracket invariants
title_full_unstemmed Spectral killers and Poisson bracket invariants
title_short Spectral killers and Poisson bracket invariants
title_sort spectral killers and poisson bracket invariants
url http://hdl.handle.net/1721.1/98179
https://orcid.org/0000-0003-3248-9165
work_keys_str_mv AT seyfaddinisobhan spectralkillersandpoissonbracketinvariants