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Integrality of instanton numbers and p-adic B-model
Published Web Location
https://arxiv.org/pdf/hep-th/0603106.pdfNo data is associated with this publication.
Abstract
We study integrality of instanton numbers (genus zero Gopakumar - Vafa invariants) for quintic and other Calabi-Yau manifolds. We start with the analysis of the case when the moduli space of complex structures is one-dimensional; later we show that our methods can be used to prove integrality in general case. We give an expression of instanton numbers in terms of Frobenius map on $p$-adic cohomology ; the proof of integrality is based on this expression.