Integrality of instanton numbers and p-adic B-model

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dc.creatorKontsevich, Maxim
dc.creatorSchwarz, Albert
dc.creatorVologodsky, Vadim
dc.date2006-03-14
dc.date2006-04-09
dc.date.accessioned2026-07-07T10:46:12Z
dc.date.available2026-07-07T10:46:12Z
dc.descriptionWe 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.
dc.description10 pages, minor changes
dc.identifierhttps://arxiv.org/abs/hep-th/0603106
dc.identifierhttp://arxiv.org/abs/hep-th/0603106
dc.identifierPhys.Lett.B637:97-101,2006
dc.identifierdoi:10.1016/j.physletb.2006.04.012
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/183154
dc.subjectHigh Energy Physics - Theory
dc.subjectAlgebraic Geometry
dc.subjectNumber Theory
dc.titleIntegrality of instanton numbers and p-adic B-model
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