3 papers
math.RT2026
3D mirror symmetry in positive characteristic
Shaoyun Bai, Jae Hee Lee
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…
math.SG2026
Arithmetic geometry of quantum connections on Calabi-Yau -folds
Shaoyun Bai, Jae Hee Lee, Daniel Pomerleano
Fix a prime . Working over , we show that the quantum connection of any closed Calabi-Yau threefold gives rise to a Fontaine-Laffaile module when restricted to…
math.AG2025
Quantum Adams operations in quasimap K-theory
Shaoyun Bai, Jae Hee Lee
We define quantum deformations of Adams operations in -theory, in the framework of quasimap quantum -theory. They provide -theoretic analogs of the quantum Steenrod operat…