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On the spectral properties of the quantum cohomology of odd quadrics

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arxiv 2502.14646 v1 pith:ZLNJELI5 submitted 2025-02-20 math.AG

classification math.AG
keywords mboxquantumbulletcohomologyboundcalculatecharacteristiccheck
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abstract

Let $H^\bullet(\mbox{OG})$ be the quantum cohomology (specialized at $q=1$) of the $2n-1$ dimensional quadric $\mbox{OG}$. We will calculate the characteristic polynomial of the linear operators induced by quantum multiplication in $H^\bullet(\mbox{OG})$ and the Frobenius-Perron dimension. We also check that Galkin's lower bound conjecture holds for $\mbox{OG}$.

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