On $p$-integrality of instanton numbers

Abstract

We show integrality of instanton numbers in several key examples of mirror symmetry. Our methods are essentially elementary, they are based on our previous work in the series of papers called Dwork crystals I, II and III.

This version of the manuscript is identical to the previous one. The purpose of resubmission is to change the license as required by the grant supporting the second author's work

References in corpus (6)

• Enumerative geometry of Calabi-Yau 4-folds
• Tables of Calabi--Yau equations
• Integrality of instanton numbers and p-adic B-model
• Integrality of instanton numbers
• Dwork crystals I
• Dwork crystals II

Cited by in corpus (2)

• Dwork crystals III: from excellent Frobenius lifts towards supercongruences
• Frobenius structure and $p$-adic zeta values