Frobenius map for quintic threefolds

Abstract

We calculate the matrix of the Frobenius map on the middle dimensional cohomology of the one parameter family that is related by mirror symmetry to the family of all quintic threefolds.

19 pages, discussion of $p$-adic zeta values added

References in corpus (6)

• p-adic multiple zeta values I -- p-adic multiple polylogarithms and the p-adic KZ equation
• 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 on local Calabi-Yau manifolds

Cited by in corpus (3)

• Twisted de Rham cohomology, homological definition of the integral and "Physics over a ring"
• Integrality theorems in the theory of topological strings
• Frobenius map on local Calabi-Yau manifolds