Integrality of instanton numbers and p-adic B-model
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Integrality of instanton numbers and p-adic B-model

  • Author(s): Kontsevich, Maxim
  • Schwarz, Albert
  • Vologodsky, Vadim
  • et al.

Published Web Location

https://arxiv.org/pdf/hep-th/0603106.pdf
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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.

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