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

Published 25 Jan 2025 in math-ph, math.MP, and math.RT | (2501.15185v1)

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.

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