2020/04/22 by Hai Dong, Dong, Hai, Yaoxiong Wen +1 · 1 citation
Computer Science · Mathematics · #Advanced Combinatorial Mathematics #Advanced Mathematical Identities #Algebraic Geometry (math.AG) #Coding theory and cryptography #FOS: Mathematics #math.AG
paper · pdf · doi:10.48550/arxiv.2004.10661
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
openalex publication_date 2020/04/22 · arxiv created 2020/08/20 · arxiv updated 2020/08/21 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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 K-theoretical I-functions with level structure between Grassmannian and its dual Grassmannian. Here we find an interval of levels within which two I-functions are the same, and on the boundary of that interval, two I-functions are intertwining with each other. We call this phenomenon level correspondence in Grassmann duality.