A Geometric Realization of Symmetric Pairs of Type AIII

Abstract

In this paper, we construct a geometric realization of symmetric pair of type AIII over $\sigma$-quiver varieties as an analogy of the construction over Nakajima quiver varieties. To achieve this, we define the action of generators by pull back and push forward through $\iota$Hecke correspondences and check the relations.

some typos fixed and references added