33 citations · 132 across the 17 of their papers we have counts for
4 papers · 1 filter
Framing the Di-Logarithm (over Z)
Albert Schwarz, Vadim Vologodsky, Johannes Walcher
Motivated by their role for integrality and integrability in topological string theory, we introduce the general mathematical notion of "s-functions" as integral linear combination…
Integrality theorems in the theory of topological strings
Albert Schwarz, Vadim Vologodsky
We give a simplified derivation of the expression of instanton numbers and of mirror map in terms of Frobenius map on p-adic cohomology and use this expression to prove integrality…
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…
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…