Some integrality properties in local mirror symmetry

Abstract

We prove some integrality properties of the open-closed mirror maps, inverse open-closed mirror maps and mirror curves of some local Calabi-Yau geometries.

Case by case check in an earlier version is replaced by a unified proof

References in corpus (6)

• Mirror Symmetry, D-Branes and Counting Holomorphic Discs
• Disk Instantons, Mirror Symmetry and the Duality Web
• On N=1 Mirror Symmetry for Open Type II Strings
• Multivariate $p$-adic formal congruences and integrality of Taylor coefficients of mirror maps
• Critère pour l'intégralité des coefficients de Taylor des applications miroir
• N=1 Mirror Symmetry and Open/Closed String Duality

Cited by in corpus (3)

• Enumerative meaning of mirror maps for toric Calabi-Yau manifolds
• Fat and Thin Emergent Geometries of Hermitian One-Matrix Models
• Integrality Properties of Open-Closed Mirror Maps