Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Geometry of moduli spaces of Higgs bundles   We construct a Petersson-Weil type K\"ahler form on the moduli spaces of
Higgs bundles over a compact K\"ahler manifold. A fiber integral formula for
this form is proved, from which it follows that the Petersson-Weil form is the
curvature of a certain determinant line bundle, equipped with a Quillen metric,
on the moduli space of Higgs bundles over a projective manifold. The curvature
of the Petersson-Weil K\"ahler form is computed. We also show that, under
certain assumptions, a moduli space of Higgs bundles supports of natural
hyper-K\"ahler structure.

21
The categories of this paper are: adap-org
37
The categories of this paper are: supr-con
15
The categories of this paper are: nucl-ex
10
The categories of this paper are: q-bio
0
The categories of this paper are: hep-ph
31
The categories of this paper are: ao-sci
20
The categories of this paper are: acc-phys
29
The categories of this paper are: funct-an
17
The categories of this paper are: q-fin
33
The categories of this paper are: plasm-ph
5
The categories of this paper are: gr-qc
6
The categories of this paper are: astro-ph
24
The categories of this paper are: dg-ga
16
The categories of this paper are: stat
35
The categories of this paper are: mtrl-th
23
The categories of this paper are: solv-int