Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The Hofer question on intermediate symplectic capacities   Roughly twenty five years ago Hofer asked: can the cylinder B^2(1) \times
\mathbb{R}^{2(n-1)} be symplectically embedded into B^{2(n-1)}(R) \times
\mathbb{R}^2 for some R>0? We show that this is the case if R \geq
\sqrt{2^{n-1}+2^{n-2}-2}. We deduce that there are no intermediate capacities,
between 1-capacities, first constructed by Gromov in 1985, and n-capacities,
answering another question of Hofer. In 2008, Guth reached the same conclusion
under the additional hypothesis that the intermediate capacities should satisfy
the exhaustion property.

26
The categories of this paper are: bayes-an
32
The categories of this paper are: atom-ph
36
The categories of this paper are: cmp-lg
17
The categories of this paper are: q-fin
18
The categories of this paper are: econ
3
The categories of this paper are: physics
30
The categories of this paper are: q-alg
37
The categories of this paper are: supr-con
35
The categories of this paper are: mtrl-th
7
The categories of this paper are: hep-th
31
The categories of this paper are: ao-sci
27
The categories of this paper are: comp-gas
20
The categories of this paper are: acc-phys
1
The categories of this paper are: cs
19
The categories of this paper are: eess
13
The categories of this paper are: quant-ph