Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Multiple valued sections of vector bundles: the reparametrization
  theorem for $Q$-valued functions revisited   We analyze a notion of multiple valued sections of a vector bundle over an
abstract smooth Riemannian manifold, which was suggested by W. Allard in the
unpublished note "Some useful techniques for dealing with multiple valued
functions" and generalizes Almgren's $Q$-valued functions. We study some
relevant properties of such $Q$-multisections and apply the theory to provide
an elementary and purely geometric proof of a delicate reparametrization
theorem for multi-valued graphs which plays an important role in the regularity
theory for higher codimension area minimizing currents \`a la Almgren-De
Lellis-Spadaro.

12
The categories of this paper are: nucl-th
34
The categories of this paper are: chem-ph
36
The categories of this paper are: cmp-lg
26
The categories of this paper are: bayes-an
15
The categories of this paper are: nucl-ex
11
The categories of this paper are: hep-lat
37
The categories of this paper are: supr-con
31
The categories of this paper are: ao-sci
3
The categories of this paper are: physics
22
The categories of this paper are: chao-dyn
16
The categories of this paper are: stat
13
The categories of this paper are: quant-ph
27
The categories of this paper are: comp-gas
30
The categories of this paper are: q-alg
35
The categories of this paper are: mtrl-th
14
The categories of this paper are: math-ph