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arXiv · 2502.14646

On the spectral properties of the quantum cohomology of odd quadrics

Ryan M. Shifler·Stephanie Warman
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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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Ryan M. Shifler, Stephanie Warman. 2025-02-20. On the spectral properties of the quantum cohomology of odd quadrics. https://arxiv.org/abs/2502.14646

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