Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Generic Uniqueness of Area Minimizing Disks for Extreme Curves   We show that for a generic nullhomotopic simple closed curve C in the
boundary of a compact, orientable, mean convex 3-manifold M with trivial second
homology, there is a unique area minimizing disk D embedded in M where the
boundary of D is C. We also show that the same is true for absolutely area
minimizing surfaces.

12
The categories of this paper are: nucl-th
26
The categories of this paper are: bayes-an
22
The categories of this paper are: chao-dyn
3
The categories of this paper are: physics
17
The categories of this paper are: q-fin
25
The categories of this paper are: patt-sol
21
The categories of this paper are: adap-org
5
The categories of this paper are: gr-qc
10
The categories of this paper are: q-bio
27
The categories of this paper are: comp-gas
16
The categories of this paper are: stat
36
The categories of this paper are: cmp-lg
7
The categories of this paper are: hep-th
32
The categories of this paper are: atom-ph
23
The categories of this paper are: solv-int
6
The categories of this paper are: astro-ph