Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Partial regularity for fractional harmonic maps into spheres   This article addresses the regularity issue for stationary or minimizing
fractional harmonic maps into spheres of order $s\in(0,1)$ in arbitrary
dimensions. It is shown that such fractional harmonic maps are $C^\infty$ away
from a small closed singular set. The Hausdorff dimension of the singular set
is also estimated in terms of $s\in(0,1)$ and the stationarity/minimality
assumption.

6
The categories of this paper are: astro-ph
10
The categories of this paper are: q-bio
0
The categories of this paper are: hep-ph
5
The categories of this paper are: gr-qc
32
The categories of this paper are: atom-ph
18
The categories of this paper are: econ
19
The categories of this paper are: eess
22
The categories of this paper are: chao-dyn
15
The categories of this paper are: nucl-ex
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The categories of this paper are: hep-th
1
The categories of this paper are: cs
30
The categories of this paper are: q-alg
3
The categories of this paper are: physics
26
The categories of this paper are: bayes-an
16
The categories of this paper are: stat
29
The categories of this paper are: funct-an