Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Higgs bundles twisted by a vector bundle   In this paper, we consider a generalization of the theory of Higgs bundles
over a smooth complex projective curve in which the twisting of the Higgs field
by the canonical bundle of the curve is replaced by a rank 2 vector bundle. We
define a Hitchin map and give a spectral correspondence. We also state a
Hitchin-Kobayashi correspondence for a generalization of the Hitchin equations
to this situation. In a certain sense, this theory lies halfway between the
theories of Higgs bundles on a curve and on a higher dimensional variety.

16
The categories of this paper are: stat
3
The categories of this paper are: physics
34
The categories of this paper are: chem-ph
35
The categories of this paper are: mtrl-th
1
The categories of this paper are: cs
29
The categories of this paper are: funct-an
20
The categories of this paper are: acc-phys
12
The categories of this paper are: nucl-th
23
The categories of this paper are: solv-int
8
The categories of this paper are: hep-ex
25
The categories of this paper are: patt-sol
13
The categories of this paper are: quant-ph
21
The categories of this paper are: adap-org
37
The categories of this paper are: supr-con
30
The categories of this paper are: q-alg
14
The categories of this paper are: math-ph