Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Connectedness of Higgs bundle moduli for complex reductive Lie groups   We carry an intrinsic approach to the study of the connectedness of the
moduli space $\mathcal{M}_G$ of $G$-Higgs bundles, over a compact Riemann
surface, when $G$ is a complex reductive (not necessarily connected) Lie group.
We prove that the number of connected components of $\mathcal{M}_G$ is indexed
by the corresponding topological invariants. In particular, this gives an
alternative proof of the counting by J. Li of the number of connected
components of the moduli space of flat $G$-connections in the case in which $G$
is connected and semisimple.

36
The categories of this paper are: cmp-lg
34
The categories of this paper are: chem-ph
0
The categories of this paper are: hep-ph
29
The categories of this paper are: funct-an
21
The categories of this paper are: adap-org
10
The categories of this paper are: q-bio
3
The categories of this paper are: physics
5
The categories of this paper are: gr-qc
1
The categories of this paper are: cs
17
The categories of this paper are: q-fin
26
The categories of this paper are: bayes-an
9
The categories of this paper are: nlin
28
The categories of this paper are: alg-geom
22
The categories of this paper are: chao-dyn
25
The categories of this paper are: patt-sol
37
The categories of this paper are: supr-con