Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On $C^0$-continuity of the spectral norm for symplectically
  non-aspherical manifolds   The purpose of this paper is to study the relation between the $C^0$-topology
and the topology induced by the spectral norm on the group of Hamiltonian
diffeomorphisms of a closed symplectic manifold. Following the approach of
Buhovsky-Humili\`ere-Seyfaddini, we prove the $C^0$-continuity of the spectral
norm for complex projective spaces and negative monotone symplectic manifolds.
The case of complex projective spaces provides an alternative approach to the
$C^0$-continuity of the spectral norm proven by Shelukhin. We also prove a
partial $C^0$-continuity of the spectral norm for rational symplectic
manifolds. Some applications such as the Arnold conjecture in the context of
$C^0$-symplectic topology are also discussed.

9
The categories of this paper are: nlin
19
The categories of this paper are: eess
7
The categories of this paper are: hep-th
4
The categories of this paper are: cond-mat
34
The categories of this paper are: chem-ph
15
The categories of this paper are: nucl-ex
35
The categories of this paper are: mtrl-th
36
The categories of this paper are: cmp-lg
26
The categories of this paper are: bayes-an
30
The categories of this paper are: q-alg
29
The categories of this paper are: funct-an
11
The categories of this paper are: hep-lat
20
The categories of this paper are: acc-phys
22
The categories of this paper are: chao-dyn
10
The categories of this paper are: q-bio
5
The categories of this paper are: gr-qc