Quantum Cohomology of a Fano Quiver Moduli Space

Published 20 Dec 2024 in math.AG | (2412.15987v1)

Abstract: We consider a prime Fano 6-fold $Y$ 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 $Y$ 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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Authors (1)

Junyu Meng

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