Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Character Formulas on Cohomology of Deformations of Hilbert Schemes of
  K3 Surfaces   Let X be a hyperkahler manifold deformation equivalent to a Hilbert scheme
of n points on a K3 surface. We compute the graded character formula of the
generic Mumford-Tate group representation on the cohomology ring of X, and
derive a generating series for deducing the number of canonical Hodge classes
on X. The formula indicates the number of Hodge classes on X that remain Hodge
under any deformation.

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The categories of this paper are: hep-ph
8
The categories of this paper are: hep-ex
11
The categories of this paper are: hep-lat
35
The categories of this paper are: mtrl-th
32
The categories of this paper are: atom-ph
27
The categories of this paper are: comp-gas
21
The categories of this paper are: adap-org
1
The categories of this paper are: cs
7
The categories of this paper are: hep-th
16
The categories of this paper are: stat
22
The categories of this paper are: chao-dyn
30
The categories of this paper are: q-alg
9
The categories of this paper are: nlin
4
The categories of this paper are: cond-mat
25
The categories of this paper are: patt-sol
10
The categories of this paper are: q-bio