Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: "Nonconstant cohomology" of Hietarinta's two-color solutions to
  four-simplex equation   "Nonconstant cohomologies" are introduced for solutions of set-theoretical
four-simplex equation (FSE). While usual cohomologies lead to solutions of
constant quantum FSE, our "nonconstant cohomologies" lead to solutions of
nonconstant quantum FSE. Computer calculations are presented showing that large
spaces of such cohomologies exist for all Hietarinta's two-color linear
solutions to set-theoretical FSE. After taking a partial trace of the
corresponding quantum operators, combined with one additional trick, this leads
to solutions of tetrahedron equation, including those with non-negative matrix
elements, and not reducible to a permutation, even with cocycle multipliers.

19
The categories of this paper are: eess
9
The categories of this paper are: nlin
24
The categories of this paper are: dg-ga
22
The categories of this paper are: chao-dyn
31
The categories of this paper are: ao-sci
18
The categories of this paper are: econ
30
The categories of this paper are: q-alg
10
The categories of this paper are: q-bio
28
The categories of this paper are: alg-geom
5
The categories of this paper are: gr-qc
17
The categories of this paper are: q-fin
20
The categories of this paper are: acc-phys
25
The categories of this paper are: patt-sol
11
The categories of this paper are: hep-lat
34
The categories of this paper are: chem-ph
27
The categories of this paper are: comp-gas