Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On positivity for generalized cluster variables of affine quivers   It has been proved in \cite{LS} that cluster variables in cluster algebras of
every skew-symmetric cluster algebra are positive. We prove that any regular
generalized cluster variable of an affine quiver is positive. As a corollary,
we obtain that generalized cluster variables of affine quivers are positive and
construct various positive bases. This generalizes the results in \cite{Dupont}
and \cite{DXX}.

29
The categories of this paper are: funct-an
36
The categories of this paper are: cmp-lg
17
The categories of this paper are: q-fin
32
The categories of this paper are: atom-ph
11
The categories of this paper are: hep-lat
33
The categories of this paper are: plasm-ph
15
The categories of this paper are: nucl-ex
5
The categories of this paper are: gr-qc
3
The categories of this paper are: physics
9
The categories of this paper are: nlin
7
The categories of this paper are: hep-th
1
The categories of this paper are: cs
8
The categories of this paper are: hep-ex
35
The categories of this paper are: mtrl-th
21
The categories of this paper are: adap-org
28
The categories of this paper are: alg-geom