Infinite Type D-modules and Higher Depth Mock Modular Forms I

Abstract

We study natural D-modules on the moduli stack of elliptic curves over a field of characteristic zero. We use this to produce an algebro-geometric version of the algebra of higher depth mock modular forms, studied from a Conformal Field Theoretic perspective by numerous authors.

References in corpus (6)

• Quantum Black Holes, Wall Crossing, and Mock Modular Forms
• The non-compact elliptic genus: mock or modular
• Lectures on Moduli Spaces of Elliptic Curves
• Fedosov quantization in algebraic context
• Algebraic de Rham theory for weakly holomorphic modular forms of level one
• Vertex algebras and Teichmüller modular forms