Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Counting minimal surfaces in negatively curved 3-manifolds   We introduced an asymptotic quantity that counts area-minimizing surfaces in
negatively curved closed 3-manifolds and show that quantity to only be
minimized, among all metrics of sectional curvature less than or equal -1, by
the hyperbolic metric.

10
The categories of this paper are: q-bio
7
The categories of this paper are: hep-th
29
The categories of this paper are: funct-an
32
The categories of this paper are: atom-ph
9
The categories of this paper are: nlin
20
The categories of this paper are: acc-phys
24
The categories of this paper are: dg-ga
23
The categories of this paper are: solv-int
36
The categories of this paper are: cmp-lg
14
The categories of this paper are: math-ph
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The categories of this paper are: eess
33
The categories of this paper are: plasm-ph
5
The categories of this paper are: gr-qc
22
The categories of this paper are: chao-dyn
4
The categories of this paper are: cond-mat
1
The categories of this paper are: cs