Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Counting numerical semigroups by genus and even gaps via Kunz-coordinate
  vectors   We contruct a one-to-one correspondence between a subset of numerical
semigroups with genus $g$ and $\gamma$ even gaps and the integer points of a
rational polytope. In particular, we give an overview to apply this
correspondence to try to decide if the sequence $(n_g)$ is increasing, where
$n_g$ denotes the number of numerical semigroups with genus $g$.

35
The categories of this paper are: mtrl-th
3
The categories of this paper are: physics
23
The categories of this paper are: solv-int
8
The categories of this paper are: hep-ex
5
The categories of this paper are: gr-qc
30
The categories of this paper are: q-alg
1
The categories of this paper are: cs
7
The categories of this paper are: hep-th
27
The categories of this paper are: comp-gas
32
The categories of this paper are: atom-ph
19
The categories of this paper are: eess
37
The categories of this paper are: supr-con
24
The categories of this paper are: dg-ga
29
The categories of this paper are: funct-an
28
The categories of this paper are: alg-geom
18
The categories of this paper are: econ