Generalized theta series and monodromy of Casimir connection. The case of rank 1

Abstract

The monodromy of the $\mfsl(2)$ Casimir connection is considered. It is shown that the trace of the monodromy operator over the appropriate space of flat sections gives rise to the Jacobi theta constant and to the partial Appell-Lerch sums.

Statements in the section 4 are fixed. Typos corrected

References in corpus (2)

• 3d Modularity
• The trigonometric Casimir connection of a simple Lie algebra