Frobenius transformation, mirror map and instanton numbers

Details Frobenius transformation, mirror map and instanton numbers Frobenius transformation, mirror map and instanton numbers

2006-06-16

arxiv.org/abs/hep-th/0606151v5

Phys.Lett.B660:422-427,2008

Physics

High Energy Physics

High Energy Physics - Theory

13 pages,new section about Gopakumar-Vafa invariants added, some additions in the last section, some corrections

Scientific paper

10.1016/j.physletb.2008.01.006

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 $p$-adic interpretation of the conjecture
about integrality of Gopakumar-Vafa invariants.

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