K-theoretic J-functions of type A flag varieties
Algebraic Geometry
2011-10-17 v1
Abstract
The J-function in Gromov-Witten theory is a generating function for one-point genus zero Gromov-Witten invariants with descendants. Here we give formulas for the quantum K-theoretic J-functions of type A flag manifolds and conjectural formulas for other types. Some K-theoretic tools for computation are also provided. As an application, we prove the quantum K-theoretic J-function version of the abelian-nonabelian correspondence for Grassmannians and products of projective space.
Cite
@article{arxiv.1110.3117,
title = {K-theoretic J-functions of type A flag varieties},
author = {Kaisa Taipale},
journal= {arXiv preprint arXiv:1110.3117},
year = {2011}
}
Comments
23 pages; comments welcome