Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Diagonal approximation and the cohomology ring of torus fiber bundles   For a torus bundle (S^1 x S^1) -> E -> S^1$, we construct a finite free
resolution Z over ZG, where G is the fundamental group of the total space E,
and then we compute the cohomology groups H^*(G,Z) and H^*(G,Z_p) for a prime
p. We also construct a partial diagonal approximation for the resolution, which
allows us to compute the cup product in H^*(G,Z) and H^*(G,Z_p).

16
The categories of this paper are: stat
18
The categories of this paper are: econ
31
The categories of this paper are: ao-sci
20
The categories of this paper are: acc-phys
17
The categories of this paper are: q-fin
5
The categories of this paper are: gr-qc
23
The categories of this paper are: solv-int
6
The categories of this paper are: astro-ph
1
The categories of this paper are: cs
34
The categories of this paper are: chem-ph
19
The categories of this paper are: eess
4
The categories of this paper are: cond-mat
3
The categories of this paper are: physics
30
The categories of this paper are: q-alg
0
The categories of this paper are: hep-ph
33
The categories of this paper are: plasm-ph