Mathematics – Symplectic Geometry
Scientific paper
2011-03-16
Mathematics
Symplectic Geometry
Minor changes
Scientific paper
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.
Buhovsky Lev
Entov Michael
Polterovich Leonid
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