Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Meromorphic quadratic differentials and measured foliations on a Riemann
  surface   We describe the space of measured foliations induced on a compact Riemann
surface by meromorphic quadratic differentials. We prove that any such
foliation is realized by a unique such differential $q$ if we prescribe, in
addition, the principal parts of $\sqrt q$ at the poles. This generalizes a
theorem of Hubbard and Masur for holomorphic quadratic differentials. The proof
analyzes infinite-energy harmonic maps from the Riemann surface to
$\mathbb{R}$-trees of infinite co-diameter, with prescribed behavior at the
poles.

26
The categories of this paper are: bayes-an
6
The categories of this paper are: astro-ph
36
The categories of this paper are: cmp-lg
11
The categories of this paper are: hep-lat
33
The categories of this paper are: plasm-ph
9
The categories of this paper are: nlin
27
The categories of this paper are: comp-gas
32
The categories of this paper are: atom-ph
23
The categories of this paper are: solv-int
29
The categories of this paper are: funct-an
10
The categories of this paper are: q-bio
4
The categories of this paper are: cond-mat
37
The categories of this paper are: supr-con
0
The categories of this paper are: hep-ph
18
The categories of this paper are: econ
8
The categories of this paper are: hep-ex