Fourier-Like Transforms of Stable Graphs and Holomorphic Anomaly Equations

Abstract

In this paper we develop a theory of Fourier-like transforms on the space of stable graphs. In particular, we introduce a duality theory of stable graphs. As an application, we derive the holomorphic anomaly equations for general propagators in the work of Aganagic, Bouchard and Klemm.

References in corpus (3)

• Holomorphic anomaly and matrix models
• A Unified Approach to Holomorphic Anomaly Equations and Quantum Spectral Curves
• Orbifold Euler Characteristics of ${\overline{\mathcal{M}}}_{g,n}$

Cited by in corpus (1)

• Orbifold Euler Characteristics of ${\overline{\mathcal{M}}}_{g,n}$