On the finiteness of quantum K-theory of a homogeneous space

David Anderson Ohio State University Linda Chen Swarthmore College Hsian-Hua Tseng Ohio State University

Combinatorics Representation Theory mathscidoc:1907.01005

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.
No keywords uploaded!
[ Download ] [ 2019-07-02 22:43:34 uploaded by tseng ] [ 129 downloads ] [ 0 comments ]
@inproceedings{davidon,
  title={On the finiteness of quantum K-theory of a homogeneous space},
  author={David Anderson, Linda Chen, and Hsian-Hua Tseng},
  url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20190702224334788937395},
}
David Anderson, Linda Chen, and Hsian-Hua Tseng. On the finiteness of quantum K-theory of a homogeneous space. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20190702224334788937395.
Please log in for comment!
 
 
Contact us: office-iccm@tsinghua.edu.cn | Copyright Reserved