The small quantum cohomology of the Cayley Grassmannian
We compute the small cohomology ring of the Cayley Grassmannian, that parametrizes four-dimensional subalgebras of the complexified octonions. We show that all the Gromov-Witten invariants in the multiplication table of the Schubert classes are non negative and deduce Golyshev's conjecture O holds true for this variety. We also check that the quantum cohomology is semisimple and that there exists, as predicted by Dubrovin's conjecture, an exceptional collection of maximal length in the derived category.
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Vladimiro Benedetti (add twitter)
Laurent Manivel (add twitter)
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Mathematics - Algebraic Geometry

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07/17/19 06:02PM
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mathAGb: Vladimiro Benedetti (PSL), Laurent Manivel (IMT) : The small quantum cohomology of the Cayley Grassmannian https://t.co/KRmpoyvqNg https://t.co/k2VRnGCIrQ
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