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arXiv · 2509.26295

P-adic Gamma classes and overconvergent Frobenius structures for quantum connections

Shaoyun Bai·Daniel Pomerleano·Paul Seidel
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Abstract

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.

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Shaoyun Bai, Daniel Pomerleano, Paul Seidel. 2025-09-30. P-adic Gamma classes and overconvergent Frobenius structures for quantum connections. https://arxiv.org/abs/2509.26295

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