Arithmetic geometry of quantum connections on Calabi-Yau $3$-folds

Shaoyun Bai, Jae Hee Lee, Daniel Pomerleano

Fix a prime $p>3$. Working over ${\mathbb{Z}}_p$, we show that the quantum connection of any closed Calabi-Yau threefold gives rise to a Fontaine-Laffaile module when restricted to…