Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The sharp energy-capacity inequality   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.

21
The categories of this paper are: adap-org
18
The categories of this paper are: econ
1
The categories of this paper are: cs
4
The categories of this paper are: cond-mat
13
The categories of this paper are: quant-ph
24
The categories of this paper are: dg-ga
5
The categories of this paper are: gr-qc
9
The categories of this paper are: nlin
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The categories of this paper are: comp-gas
22
The categories of this paper are: chao-dyn
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The categories of this paper are: solv-int
7
The categories of this paper are: hep-th
35
The categories of this paper are: mtrl-th
20
The categories of this paper are: acc-phys
36
The categories of this paper are: cmp-lg
34
The categories of this paper are: chem-ph