Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Cohomological classification of braided $Ann$-categories   A braided $Ann$-category $\mathcal A$ is an $Ann$-category $\mathcal A$
together with a braiding $c$ such that $(\mathcal A, \otimes, a, c, (1,l,r))$
is a braided tensor category, moreover $c$ is compatible with the
distributivity constraints. According to the structure transport theorem, the
paper shows that each braided $Ann$-category is equivalent to a braided
$Ann$-category of the type $(R,M)$, hence the proof of the classification
theorem for braided $Ann$-categories by the cohomology of commutative rings is
presented.

25
The categories of this paper are: patt-sol
19
The categories of this paper are: eess
30
The categories of this paper are: q-alg
17
The categories of this paper are: q-fin
28
The categories of this paper are: alg-geom
7
The categories of this paper are: hep-th
20
The categories of this paper are: acc-phys
16
The categories of this paper are: stat
26
The categories of this paper are: bayes-an
21
The categories of this paper are: adap-org
31
The categories of this paper are: ao-sci
27
The categories of this paper are: comp-gas
34
The categories of this paper are: chem-ph
1
The categories of this paper are: cs
4
The categories of this paper are: cond-mat
24
The categories of this paper are: dg-ga