3D mirror symmetry in positive characteristic
Representation Theory
2025-04-01 v1 Symplectic Geometry
Abstract
Via the formulation of (quantum) Hikita conjecture with coefficients in a characteristic field, we explain an arithmetic aspect of the theory of 3D mirror symmetry. Namely, we propose that the action of Steenrod-type operations and Frobenius-constant quantizations intertwine under the (quantum) Hikita isomorphism for 3D mirror pairs, and verify this for the Springer resolutions and hypertoric varieties.
Keywords
Cite
@article{arxiv.2503.23590,
title = {3D mirror symmetry in positive characteristic},
author = {Shaoyun Bai and Jae Hee Lee},
journal= {arXiv preprint arXiv:2503.23590},
year = {2025}
}
Comments
38 pages, comments welcome!