Level correspondence of $K$-theoretic $I$-function in Grassmann duality
Abstract
In this paper, we prove a class of nontrivial q-Pochhammer symbol identities with extra parameters by iterated residue method. Then we use these identities to find relations of the quasi-map -theoretical -functions with level structure between Grassmannian and its dual Grassmannian. Here we find an interval of levels within which two -functions are the same, and on the boundary of that interval, two -functions are intertwining with each other. We call this phenomenon level correspondence in Grassmann duality.
Keywords
Cite
@article{arxiv.2004.10661,
title = {Level correspondence of $K$-theoretic $I$-function in Grassmann duality},
author = {Hai Dong and Yaoxiong Wen},
journal= {arXiv preprint arXiv:2004.10661},
year = {2020}
}
Comments
In this version, we fix typos and add a reference: arXiv:1912.03792 in which Y. Yoshida and K. Ueda established the correspondence between 3d gauge theory and the quantum $K$-ring and $I$-function of $Gr(r,n)$ independently of ref [14] in our paper