P-adic Gamma classes and overconvergent Frobenius structures for quantum connections
Algebraic Geometry
2025-10-01 v1 Symplectic Geometry
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.
Cite
@article{arxiv.2509.26295,
title = {P-adic Gamma classes and overconvergent Frobenius structures for quantum connections},
author = {Shaoyun Bai and Daniel Pomerleano and Paul Seidel},
journal= {arXiv preprint arXiv:2509.26295},
year = {2025}
}
Comments
56 pages