Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the signatures of even 4-manifolds   In this paper, we prove a number of inequalities between the signature and
the Betti numbers of a 4-manifold with even intersection form. Furthermore, we
introduce a new geometric group invariant and discuss some of its properties.

0
The categories of this paper are: hep-ph
34
The categories of this paper are: chem-ph
24
The categories of this paper are: dg-ga
16
The categories of this paper are: stat
7
The categories of this paper are: hep-th
13
The categories of this paper are: quant-ph
20
The categories of this paper are: acc-phys
17
The categories of this paper are: q-fin
25
The categories of this paper are: patt-sol
5
The categories of this paper are: gr-qc
37
The categories of this paper are: supr-con
11
The categories of this paper are: hep-lat
28
The categories of this paper are: alg-geom
12
The categories of this paper are: nucl-th
3
The categories of this paper are: physics
15
The categories of this paper are: nucl-ex