Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Isospectral finiteness on convex cocompact hyperbolic 3-manifolds   In this paper we show that a given set of lengths of closed geodesics, there
are only finitely many convex cocompact hyperbolic 3-manifolds with that
specified length spectrum, homotopy equivalent to a given 3-manifold without a
handlebody factor, up to orientation preserving isometries.

31
The categories of this paper are: ao-sci
37
The categories of this paper are: supr-con
26
The categories of this paper are: bayes-an
6
The categories of this paper are: astro-ph
25
The categories of this paper are: patt-sol
3
The categories of this paper are: physics
21
The categories of this paper are: adap-org
36
The categories of this paper are: cmp-lg
20
The categories of this paper are: acc-phys
27
The categories of this paper are: comp-gas
24
The categories of this paper are: dg-ga
17
The categories of this paper are: q-fin
11
The categories of this paper are: hep-lat
10
The categories of this paper are: q-bio
32
The categories of this paper are: atom-ph
30
The categories of this paper are: q-alg