Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Regularity theory for $2$-dimensional almost minimal currents II:
  branched center manifold   We construct a branched center manifold in a neighborhood of a singular point
of a $2$-dimensional integral current which is almost minimizing in a suitable
sense. Our construction is the first half of an argument which shows the
discreteness of the singular set for the following three classes of
$2$-dimensional currents: area minimizing in Riemannian manifolds,
semicalibrated and spherical cross sections of $3$-dimensional area minimizing
cones.

4
The categories of this paper are: cond-mat
34
The categories of this paper are: chem-ph
19
The categories of this paper are: eess
33
The categories of this paper are: plasm-ph
14
The categories of this paper are: math-ph
16
The categories of this paper are: stat
3
The categories of this paper are: physics
31
The categories of this paper are: ao-sci
8
The categories of this paper are: hep-ex
37
The categories of this paper are: supr-con
20
The categories of this paper are: acc-phys
18
The categories of this paper are: econ
10
The categories of this paper are: q-bio
36
The categories of this paper are: cmp-lg
11
The categories of this paper are: hep-lat
28
The categories of this paper are: alg-geom