Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A C^0 counterexample to the Arnold conjecture   The Arnold conjecture states that a Hamiltonian diffeomorphism of a closed
and connected symplectic manifold must have at least as many fixed points as
the minimal number of critical points of a smooth function on the manifold.
  It is well known that the Arnold conjecture holds for Hamiltonian
homeomorphisms of closed symplectic surfaces. The goal of this paper is to
provide a counterexample to the Arnold conjecture for Hamiltonian
homeomorphisms in dimensions four and higher.
  More precisely, we prove that every closed and connected symplectic manifold
of dimension at least four admits a Hamiltonian homeomorphism with a single
fixed point.

9
The categories of this paper are: nlin
23
The categories of this paper are: solv-int
10
The categories of this paper are: q-bio
1
The categories of this paper are: cs
37
The categories of this paper are: supr-con
29
The categories of this paper are: funct-an
24
The categories of this paper are: dg-ga
7
The categories of this paper are: hep-th
5
The categories of this paper are: gr-qc
34
The categories of this paper are: chem-ph
33
The categories of this paper are: plasm-ph
31
The categories of this paper are: ao-sci
32
The categories of this paper are: atom-ph
3
The categories of this paper are: physics
35
The categories of this paper are: mtrl-th
0
The categories of this paper are: hep-ph