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Frobenius transformation, mirror map and instanton numbers

Albert Schwarz, Vadim Vologodsky

hep-tharXiv:hep-th/0606151

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

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