Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Fragility and Persistence of Leafwise Intersections   In this paper we study the question of fragility and robustness of leafwise
intersections of coisotropic submanifolds. Namely, we construct a closed
hypersurface and a sequence of Hamiltonians $C^0$-converging to zero such that
the hypersurface and its images have no leafwise intersections, showing that
some form of the contact type condition on the hypersurface is necessary in
several persistence results. In connection with recent results in continuous
symplectic topology, we also show that $C^0$-convergence of hypersurfaces,
Hamiltonian diffeomorphic to each other, does not in general force
$C^0$-convergence of the characteristic foliations.

17
The categories of this paper are: q-fin
20
The categories of this paper are: acc-phys
21
The categories of this paper are: adap-org
25
The categories of this paper are: patt-sol
34
The categories of this paper are: chem-ph
0
The categories of this paper are: hep-ph
6
The categories of this paper are: astro-ph
29
The categories of this paper are: funct-an
11
The categories of this paper are: hep-lat
35
The categories of this paper are: mtrl-th
5
The categories of this paper are: gr-qc
15
The categories of this paper are: nucl-ex
19
The categories of this paper are: eess
10
The categories of this paper are: q-bio
7
The categories of this paper are: hep-th
3
The categories of this paper are: physics