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arXiv · 2412.15987

Quantum Cohomology of a Fano Quiver Moduli Space

Junyu Meng
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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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Junyu Meng. 2024-12-20. Quantum Cohomology of a Fano Quiver Moduli Space. https://arxiv.org/abs/2412.15987

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