Frobenius transformation, mirror map and instanton numbers
arXiv:hep-th/0606151 · doi:10.1016/j.physletb.2008.01.006
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.
13 pages,new section about Gopakumar-Vafa invariants added, some additions in the last section, some corrections