Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Prescription de la multiplicit\'e des valeurs propres du laplacien de
  Hodge-de Rham   On any compact manifold of dimension greater than 6, we prescribe the volume
and any finite part of the spectrum Hodge Laplacian acting on $p$-form for
$1\leq p<\frac n2$. In particular, we prescribe the multiplicity of the first
eigenvalues.

11
The categories of this paper are: hep-lat
4
The categories of this paper are: cond-mat
13
The categories of this paper are: quant-ph
16
The categories of this paper are: stat
15
The categories of this paper are: nucl-ex
25
The categories of this paper are: patt-sol
12
The categories of this paper are: nucl-th
35
The categories of this paper are: mtrl-th
24
The categories of this paper are: dg-ga
22
The categories of this paper are: chao-dyn
1
The categories of this paper are: cs
3
The categories of this paper are: physics
30
The categories of this paper are: q-alg
28
The categories of this paper are: alg-geom
5
The categories of this paper are: gr-qc
9
The categories of this paper are: nlin