On the structure of the algebra generated by the rational equivalence classes of Brill–Noether loci in the Chow ring of the moduli space of semistable bundles on elliptic curve

Abstract

In this paper, our aim is to explicitly calculate the relations amongst the rational equivalence classes of Brill–Noether loci and describe the algebra generated by the same in the Chow ring of the moduli space of semistable bundles on elliptic curve. In general, the relations obtained are dependent on the degree of the embeddings involved. We also provide an example of a particular fixed determinant moduli space where the relations obtained are embedding independent.