IASM Preprint Series 2020-02:Level correspondence of K-theoretic I-function in Grassmann Duality

Hai Dong and Yaoxiong Wen

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 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.