Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the finiteness of quantum K-theory of a homogeneous space   We show that the product in the quantum K-ring of a generalized flag manifold
$G/P$ involves only finitely many powers of the Novikov variables. In contrast
to previous approaches to this finiteness question, we exploit the finite
difference module structure of quantum K-theory. At the core of the proof is a
bound on the asymptotic growth of the $J$-function, which in turn comes from an
analysis of the singularities of the zastava spaces studied in geometric
representation theory.
  An appendix by H. Iritani establishes the equivalence between finiteness and
a quadratic growth condition on certain shift operators.

31
The categories of this paper are: ao-sci
5
The categories of this paper are: gr-qc
22
The categories of this paper are: chao-dyn
24
The categories of this paper are: dg-ga
4
The categories of this paper are: cond-mat
6
The categories of this paper are: astro-ph
14
The categories of this paper are: math-ph
32
The categories of this paper are: atom-ph
0
The categories of this paper are: hep-ph
21
The categories of this paper are: adap-org
3
The categories of this paper are: physics
36
The categories of this paper are: cmp-lg
34
The categories of this paper are: chem-ph
11
The categories of this paper are: hep-lat
33
The categories of this paper are: plasm-ph
19
The categories of this paper are: eess