On Sp_4 modularity of Picard--Fuchs differential equations for Calabi--Yau threefolds (with an appendix by Vicentiu Pasol)

Abstract

Motivated by the relationship of classical modular functions and Picard--Fuchs linear differential equations of order 2 and 3, we present an analogous concept for equations of order 4 and 5.

33 pages

References in corpus (4)

• Topological String Theory on Compact Calabi-Yau: Modularity and Boundary Conditions
• Topological Strings and (Almost) Modular Forms
• Calabi-Yau differential equations of degree 2 and 3 and Yifan Yang's pullback
• Monodromy of Picard-Fuchs differential equations for Calabi-Yau threefolds

Cited by in corpus (7)

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• Ising n-fold integrals as diagonals of rational functions and integrality of series expansions
• The Ising model: from elliptic curves to modular forms and Calabi-Yau equations
• Holonomic functions of several complex variables and singularities of anisotropic Ising n-fold integrals
• Bilateral sums related to Ramanujan-like series
• Kind of proofs of Ramanujan-like series
• Ramanujan-Sato-like series