Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Stable maps, Q-operators and category O   Motivated by Maulik-Okounkov stable maps associated to quiver varieties, we
define and construct algebraic stable maps on tensor products of
representations in the category O of the Borel subalgebra of an arbitrary
untwisted quantum affine algebra. Our representation-theoretical construction
is based on the study of the action of Cartan-Drinfeld subalgebras. We prove
the algebraic stable maps are invertible and depend rationally on the spectral
parameter. As an application, we obtain new R-matrices in the category O and we
establish that a large family of simple modules, including the prefundamental
representations associated to Q-operators, generically commute as
representations of the Cartan-Drinfeld subalgebra. We also establish
categorified QQ*-systems in terms of the R-matrices we construct.

13
The categories of this paper are: quant-ph
26
The categories of this paper are: bayes-an
6
The categories of this paper are: astro-ph
24
The categories of this paper are: dg-ga
25
The categories of this paper are: patt-sol
1
The categories of this paper are: cs
33
The categories of this paper are: plasm-ph
14
The categories of this paper are: math-ph
27
The categories of this paper are: comp-gas
28
The categories of this paper are: alg-geom
0
The categories of this paper are: hep-ph
3
The categories of this paper are: physics
20
The categories of this paper are: acc-phys
15
The categories of this paper are: nucl-ex
37
The categories of this paper are: supr-con
32
The categories of this paper are: atom-ph