Calabi-Yau equations are differential equations that have the formal properties of operators that appear as Picard-Fuchs operators of one-parameter families of Calabi-Yau manifolds. For an operator of order $n$, the corresponding rank n local systems undelies a variations of Hodge structure with all Hodge numbers equal to one. In this database the main focus is on fourth order operators, corresponding the the case of Calabi-Yau threefolds. This database contains the operators that were collected in the paper "Tables of Calabi-Yau equations" by Gert Almkvist, Christian van Enckevort, Duco van Straten and Wadim Zudilin. arXiv:math0507430. The notion of Calabi-Yau operator was introduced in the paper math.NT/0402386 by Almkvist and Zudilin
We do not claim any form of completeness of the table and the operators are listed more or less in the order in which they were discovered. We work on a more structured representation of the data. Some information and invariants like instanton numbers and monodomry matrices are usually given. We hope to tidy up things in the future.To handle these differential equations and compute things like instanton numbers and monodromies I wrote some Maple programs.