Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The embedding of the space of negatively curved surfaces in geodesic
  currents   We prove by an algebraic method that the embedding of the Teichmuller space
in the space of geodesic currents is totally linearly independent. We prove a
similar result for all negatively curved surfaces using an ergodic argument.

22
The categories of this paper are: chao-dyn
14
The categories of this paper are: math-ph
21
The categories of this paper are: adap-org
25
The categories of this paper are: patt-sol
7
The categories of this paper are: hep-th
36
The categories of this paper are: cmp-lg
27
The categories of this paper are: comp-gas
23
The categories of this paper are: solv-int
28
The categories of this paper are: alg-geom
30
The categories of this paper are: q-alg
32
The categories of this paper are: atom-ph
29
The categories of this paper are: funct-an
6
The categories of this paper are: astro-ph
17
The categories of this paper are: q-fin
12
The categories of this paper are: nucl-th
5
The categories of this paper are: gr-qc