On the spectral properties of the quantum cohomology of odd quadrics
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866915163187183616 |
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| author | Shifler, Ryan M. Warman, Stephanie |
| author_facet | Shifler, Ryan M. Warman, Stephanie |
| contents | 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 $\mbox{OG}$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2502_14646 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On the spectral properties of the quantum cohomology of odd quadrics Shifler, Ryan M. Warman, Stephanie Algebraic Geometry 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 $\mbox{OG}$. |
| title | On the spectral properties of the quantum cohomology of odd quadrics |
| topic | Algebraic Geometry |
| url | https://arxiv.org/abs/2502.14646 |