4 papers
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…
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…