Poisson brackets and symplectic invariants
Symplectic Geometry
2015-03-19 v2 Dynamical Systems
Abstract
We introduce new invariants associated to collections of compact subsets of a symplectic manifold. They are defined through an elementary-looking variational problem involving Poisson brackets. The proof of the non-triviality of these invariants involves various flavors of Floer theory. We present applications to approximation theory on symplectic manifolds and to Hamiltonian dynamics.
Cite
@article{arxiv.1103.3198,
title = {Poisson brackets and symplectic invariants},
author = {Lev Buhovsky and Michael Entov and Leonid Polterovich},
journal= {arXiv preprint arXiv:1103.3198},
year = {2015}
}
Comments
Minor changes