Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Branes and moduli spaces of Higgs bundles on smooth projective varieties   Given a smooth complex projective variety $M$ and a smooth closed curve $X
\subset M$ such that the homomorphism of fundamental groups $\pi_1(X)
\rightarrow \pi_1(M)$ is surjective, we study the restriction map of Higgs
bundles, namely from Higgs bundles on $M$ to those on $X$. In particular, we
investigate the interplay between this restriction map and various types of
branes contained in the moduli spaces of Higgs bundles on $M$ and $X$. We also
consider the set-up where a finite group is acting on $M$ via holomorphic
automorphisms or anti-holomorphic involutions, and the curve $X$ is preserved
by the action. Branes are studied in this context.

24
The categories of this paper are: dg-ga
36
The categories of this paper are: cmp-lg
19
The categories of this paper are: eess
17
The categories of this paper are: q-fin
37
The categories of this paper are: supr-con
23
The categories of this paper are: solv-int
35
The categories of this paper are: mtrl-th
25
The categories of this paper are: patt-sol
21
The categories of this paper are: adap-org
29
The categories of this paper are: funct-an
6
The categories of this paper are: astro-ph
27
The categories of this paper are: comp-gas
31
The categories of this paper are: ao-sci
12
The categories of this paper are: nucl-th
9
The categories of this paper are: nlin
34
The categories of this paper are: chem-ph