33 citations · 114 across the 8 of their papers we have counts for
Showing 2006Show all
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hep-th2006★ 12 cited
Supergeometry and Arithmetic Geometry
A. Schwarz, I. Shapiro
We define a superspace over a ring as a functor on a subcategory of the category of supercommutative -algebras. As an application the notion of a -adic superspace is intr…
hep-th2006★ 12 cited
Frobenius transformation, mirror map and instanton numbers
Albert Schwarz, Vadim Vologodsky
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 m…
hep-th2006★ 33 cited
Integrality of instanton numbers and p-adic B-model
Maxim Kontsevich, Albert Schwarz, Vadim Vologodsky
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 modul…