P-adic Gamma classes and overconvergent Frobenius structures for quantum connections
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866914068234764288 |
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| author | Bai, Shaoyun Pomerleano, Daniel Seidel, Paul |
| author_facet | Bai, Shaoyun Pomerleano, Daniel Seidel, Paul |
| contents | Consider the small quantum connection on a monotone symplectic manifold, with p-adic coefficients. We conjecture that this always admits an overconvergent Frobenius structure, whose constant term is given by a characteristic class associated to Morita's p-adic Gamma function. We prove this conjecture for toric Fano varieties and Grassmannians, and also supply additional experimental evidence. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_26295 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | P-adic Gamma classes and overconvergent Frobenius structures for quantum connections Bai, Shaoyun Pomerleano, Daniel Seidel, Paul Algebraic Geometry Symplectic Geometry Consider the small quantum connection on a monotone symplectic manifold, with p-adic coefficients. We conjecture that this always admits an overconvergent Frobenius structure, whose constant term is given by a characteristic class associated to Morita's p-adic Gamma function. We prove this conjecture for toric Fano varieties and Grassmannians, and also supply additional experimental evidence. |
| title | P-adic Gamma classes and overconvergent Frobenius structures for quantum connections |
| topic | Algebraic Geometry Symplectic Geometry |
| url | https://arxiv.org/abs/2509.26295 |