Quantum Cohomology of a Fano Quiver Moduli Space
Abstract
We consider a prime Fano 6-fold Y of index 3, which is a fine quiver moduli space and a blow down of Hilb3(P2). We calculate the quantum cohomology ring of Y 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 Y.
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