Quantum Cohomology of a Fano Quiver Moduli Space

2024/12/20 by Meng, Junyu · 1 citation
Mathematics · #Algebraic structures and combinatorial models #Advanced Combinatorial Mathematics #Algebraic Geometry and Number Theory

paper · pdf · doi:10.48550/arxiv.2412.15987

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(\mathdsP²). 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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• A-D-E diagrams, Hodge--Tate hyperplane sections and semisimple quantum cohomology

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