4 papers
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…
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…
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…
P-adic Gamma classes and overconvergent Frobenius structures for quantum connections
Shaoyun Bai, Daniel Pomerleano, Paul Seidel
Consider the small quantum connection on a monotone symplectic manifold, with p-adic coefficients. We conjecture that this always admits an overconvergent Frobenius structure, whos…