Frobenius map on local Calabi-Yau manifolds

Abstract

We prove results that, for a certain class of non-compact Calabi-Yau threefolds, relate the Frobenius action on their $p$-adic cohomology to the Frobenius action on the $p$-adic cohomology of the corresponding curves. In the appendix, we describe our interpretation of the Griffiths-Dwork method.

14 pages

References in corpus (6)

• Integrality of instanton numbers and p-adic B-model
• Twisted de Rham cohomology, homological definition of the integral and "Physics over a ring"
• Integrality of instanton numbers
• Integrality theorems in the theory of topological strings
• Frobenius transformation, mirror map and instanton numbers
• Frobenius map for quintic threefolds

Cited by in corpus (1)

• Frobenius map for quintic threefolds