@article{836e0c68350c4381b8e856555b256ea2,
title = "The 2/3-convergence rate for the poisson bracket",
abstract = "In this paper we introduce a new method for approaching the C0-rigidity results for the Poisson bracket. Using this method, we provide a different proof for the lower semi-continuity under C0 perturbations, for the uniform norm of the Poisson bracket. We find the precise rate for the modulus of the semi-continuity. This extends the previous results of Cardin-Viterbo, Zapolsky, Entov and Polterovich. Using our method, we prove a C0-rigidity result in the spirit of the work of Humili{\`e}re. We also discuss a general question of the C0-rigidity for multilinear differential operators.",
keywords = "Differential operator, Displacement energy, Hamiltonian flow, Hofer metric, Poisson bracket, Riemmanian metric, Rigidity, Symplectic manifold, Uniform norm",
author = "Lev Buhovsky",
note = "Funding Information: Keywords and phrases: Symplectic manifold, Hamiltonian flow, Poisson bracket, rigidity, displacement energy, Hofer metric, uniform norm, differential operator, Riemmanian metric 2000 Mathematics Subject Classification: 53D05, 53D17 This paper is part of the author{\textquoteright}s PhD thesis, being carried out under the supervision of Prof. P. Biran, at Tel-Aviv University. The author was partially supported by the Israel Science Foundation (grant No. 1227/06 *)",
year = "2010",
month = mar,
doi = "10.1007/s00039-010-0045-z",
language = "אנגלית",
volume = "19",
pages = "1620--1649",
journal = "Geometric and Functional Analysis",
issn = "1016-443X",
publisher = "Birkhauser Verlag Basel",
number = "6",
}