The sharp energy-capacity inequality
Symplectic Geometry
2011-01-27 v1
Abstract
Using the Oh-Schwarz spectral invariants and some arguments of Frauenfelder, Ginzburg, and Schlenk, we show that the \pi_1-sensitive Hofer-Zehnder capacity of any subset of a closed symplectic manifold is less than or equal to its displacement energy. This estimate is sharp, and implies some new extensions of the Non-Squeezing Theorem.
Cite
@article{arxiv.0808.1592,
title = {The sharp energy-capacity inequality},
author = {Michael Usher},
journal= {arXiv preprint arXiv:0808.1592},
year = {2011}
}
Comments
14 pages