Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Iterated destabilizing modifications for vector bundles with connection   Given a vector bundle with integrable connection $(V,\nabla)$ on a curve, if
$V$ is not itself semistable as a vector bundle then we can iterate a
construction involving modification by the destabilizing subobject to obtain a
Hodge-like filtration $F^p$ which satisfies Griffiths transversality. The
associated graded Higgs bundle is the limit of $(V,t\nabla)$ under the de Rham
to Dolbeault degeneration. We get a stratification of the moduli space of
connections, with as minimal stratum the space of opers. The strata have
fibrations whose fibers are Lagrangian subspaces of the moduli space.

8
The categories of this paper are: hep-ex
12
The categories of this paper are: nucl-th
0
The categories of this paper are: hep-ph
27
The categories of this paper are: comp-gas
1
The categories of this paper are: cs
32
The categories of this paper are: atom-ph
6
The categories of this paper are: astro-ph
7
The categories of this paper are: hep-th
22
The categories of this paper are: chao-dyn
21
The categories of this paper are: adap-org
19
The categories of this paper are: eess
25
The categories of this paper are: patt-sol
11
The categories of this paper are: hep-lat
35
The categories of this paper are: mtrl-th
23
The categories of this paper are: solv-int
31
The categories of this paper are: ao-sci