Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the $L^p$-geometry of autonomous Hamiltonian diffeomorphisms of
  surfaces   We prove a number of results on the interrelation between the $L^p$-metric on
the group of Hamiltonian diffeomorphisms of surfaces and the subset of all
autonomous Hamiltonian diffeomorphisms. More precisely, we show that there are
Hamiltonian diffeomorphisms of all surfaces of genus $g\neq 1$ lying
arbitrarily $L^p$-far from this subset; answering a variant of a question of
Polterovich for the $L^p$-metric.

12
The categories of this paper are: nucl-th
30
The categories of this paper are: q-alg
26
The categories of this paper are: bayes-an
16
The categories of this paper are: stat
9
The categories of this paper are: nlin
0
The categories of this paper are: hep-ph
21
The categories of this paper are: adap-org
29
The categories of this paper are: funct-an
32
The categories of this paper are: atom-ph
24
The categories of this paper are: dg-ga
36
The categories of this paper are: cmp-lg
1
The categories of this paper are: cs
14
The categories of this paper are: math-ph
13
The categories of this paper are: quant-ph
6
The categories of this paper are: astro-ph
5
The categories of this paper are: gr-qc