In this note we study the relationship between the power series expansion of the Dwork
exponential and the Mahler expansion of the p-adic Gamma function. We exploit this …

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 …

doi: 10.1093/imrn/rnp024 Page 1 Shapiro, I. (2009) “Frobenius Map for Quintic Threefolds,”
International Mathematics Research Notices, Vol. 2009, No. 13, pp. 2519–2545 Advance Access …

Motivated by their role for integrality and integrability in topological string theory, we
introduce the general mathematical notion of “s-functions” as integral linear combinations of …

We define a superspace over a ring R as a functor on a subcategory of the category of
supercommutative R-algebras. As an application the notion of a p-adic superspace is …

A bstract In this article, we first prove the integrality of an explicit disc counting formula
obtained by Panfil and Sulkowski for a class of toric Calabi-Yau manifolds named …

Quantization and holomorphic anomaly Page 1 Journal of High Energy Physics Quantization
and holomorphic anomaly To cite this article: Albert Schwarz and Xiang Tang JHEP03(2007)062 …

We say that a formal power series $\sum a_n z^ n $ with rational coefficients is a 2-function if
the numerator of the fraction $ a_ {n/p}-p^ 2 a_n $ is divisible by $ p^ 2$ for every prime …

We prove results that, for a certain class of noncompact Calabi–Yau threefolds, relate the
Frobenius action on their p-adic cohomology to the Frobenius action on the p-adic …