Toric construction and Chow ring of moduli space of quasi maps from ℙ1 with two marked points to ℙ1 × ℙ1

Abstract

In this paper, we present explicit toric construction of moduli space of quasi maps from [Formula: see text] with two marked points to [Formula: see text], which was first proposed by Jinzenji and prove that it is a compact orbifold. We also determine its Chow ring and compute its Poincaré polynomial for some lower degree cases.