Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: New construction of the brane coproduct and vanishing of cup products on
  sphere spaces   Using the loop coproduct, Menichi proved that the cup product with the
orientation class vanishes for a closed connected oriented manifold with
non-trivial Euler characteristic. We generalize this to the sphere spaces, i.e.
the mapping spaces from spheres, using two generalizations of the loop
coproduct to sphere spaces. One is constructed in this paper and the other in a
previous paper of the author.

34
The categories of this paper are: chem-ph
28
The categories of this paper are: alg-geom
30
The categories of this paper are: q-alg
36
The categories of this paper are: cmp-lg
17
The categories of this paper are: q-fin
27
The categories of this paper are: comp-gas
32
The categories of this paper are: atom-ph
11
The categories of this paper are: hep-lat
6
The categories of this paper are: astro-ph
22
The categories of this paper are: chao-dyn
10
The categories of this paper are: q-bio
1
The categories of this paper are: cs
26
The categories of this paper are: bayes-an
7
The categories of this paper are: hep-th
16
The categories of this paper are: stat
24
The categories of this paper are: dg-ga