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arxiv: hep-th/0606151 · v5 · submitted 2006-06-16 · ✦ hep-th · math.AG· math.NT

Frobenius transformation, mirror map and instanton numbers

classification ✦ hep-th math.AGmath.NT
keywords frobeniusmirrortransformationcohomologyexpressinstantonnumbersp-adic
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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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