paper

Quantum Cohomology of a Fano Quiver Moduli Space

arXiv:2412.15987

Abstract

We consider a prime Fano 6-fold of index 3, which is a fine quiver moduli space and a blow down of $\mathrm{Hilb}^3(\mathds{P}^2)$. We calculate the quantum cohomology ring of and obtain Quantum Chevalley formulas for the Schubert type subvarieties. The famous Dubrovin's Conjecture relating the quantum cohomology and the derived category is verified for .