Frobenius transformation, mirror map and instanton numbers
High Energy Physics - Theory
2008-11-26 v5 Algebraic Geometry
Number Theory
Abstract
We show that one can express Frobenius transformation on middle-dimensional p-adic cohomology of Calabi-Yau threefold in terms of mirror map and instanton numbers. We express the mirror map in terms of Frobenius transformation on p-adic cohomology . We discuss a -adic interpretation of the conjecture about integrality of Gopakumar-Vafa invariants.
Cite
@article{arxiv.hep-th/0606151,
title = {Frobenius transformation, mirror map and instanton numbers},
author = {Albert Schwarz and Vadim Vologodsky},
journal= {arXiv preprint arXiv:hep-th/0606151},
year = {2008}
}
Comments
13 pages,new section about Gopakumar-Vafa invariants added, some additions in the last section, some corrections