In this work we study the quantum periods together with their Picard–Fuchs differential
equations of Calabi–Yau fourfolds. In contrast to Calabi–Yau threefolds, we argue that the …

A bstract We study\(\mathcal {N}= 2\) superconformal theories with gauge group SU (N) and
2N fundamental flavours in a locus of the Coulomb branch with a\({\mathbb {Z}} _N\) …

We study the limit of Calabi-Yau modular forms, and in particular, those resulting in classical
modular forms. We then study two parameter families of elliptically fibred Calabi-Yau …

This paper aims to introduce two systems of nonlinear ordinary differential equations whose
solution components generate the graded algebra of quasi-modular forms on Hecke …

The theory of holomorphic foliation in complex manifolds has its origin in differential
equations, and in particular the second part of Hilbert's 16th problem on the uniform …

We study the geometry and mechanics (both classical and quantum) of potential wells
described by squares of Chebyshev polynomials. We show that in a small neighborhood of …

A2 will denote the weighted L 2 Bergman space. Given a subset S of the open unit disc we
define. S/to be the infimum of ¹s j 9f 2 A 2 s2; f¤ 0; having S as its zero setº. By classical …

In this work we extend the study of arXiv: 2210.07186 by investigating two-and three-
character MLDEs for Fricke groups at prime levels. We have constructed these higher …

É. Ghys proved that the linking numbers of modular knots and the “missing” trefoil K 2, 3 in S
3 coincide with the values of a highly ubiquitous function called the Rademacher symbol for …

The guiding principle in this monograph is to develop a new theory of modular forms which
encompasses most of the available theory of modular forms in the literature, such as those …