Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Some homological invariants of mapping class group of a 3-dimensional
  handlebody   We show that, if g is more than or equal to 2, the virtual cohomological
dimension of the mapping class group of a 3-dimensional handlebody of genus g
is equal to 4g-5 and the Euler number of it is equal to 0.

16
The categories of this paper are: stat
27
The categories of this paper are: comp-gas
6
The categories of this paper are: astro-ph
18
The categories of this paper are: econ
25
The categories of this paper are: patt-sol
12
The categories of this paper are: nucl-th
36
The categories of this paper are: cmp-lg
20
The categories of this paper are: acc-phys
1
The categories of this paper are: cs
10
The categories of this paper are: q-bio
0
The categories of this paper are: hep-ph
23
The categories of this paper are: solv-int
30
The categories of this paper are: q-alg
5
The categories of this paper are: gr-qc
9
The categories of this paper are: nlin
28
The categories of this paper are: alg-geom