Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Reconstruction and Convergence in Quantum $K$-Theory via Difference
  Equations   We give a new reconstruction method of big quantum $K$-ring based on the
$q$-difference module structure in quantum $K$-theory. The $q$-difference
structure yields commuting linear operators $A_{i,\rm com}$ on the $K$-group as
many as the Picard number of the target manifold. The genus-zero quantum
$K$-theory can be reconstructed from the $q$-difference structure at the origin
$t=0$ if the $K$-group is generated by a single element under the actions of
$A_{i,\rm com}$. This method allows us to prove the convergence of the big
quantum $K$-rings of certain manifolds, including the projective spaces and the
complete flag manifold $\operatorname{Fl}_3$.

23
The categories of this paper are: solv-int
28
The categories of this paper are: alg-geom
12
The categories of this paper are: nucl-th
14
The categories of this paper are: math-ph
37
The categories of this paper are: supr-con
32
The categories of this paper are: atom-ph
20
The categories of this paper are: acc-phys
0
The categories of this paper are: hep-ph
17
The categories of this paper are: q-fin
13
The categories of this paper are: quant-ph
30
The categories of this paper are: q-alg
11
The categories of this paper are: hep-lat
25
The categories of this paper are: patt-sol
18
The categories of this paper are: econ
15
The categories of this paper are: nucl-ex
5
The categories of this paper are: gr-qc