Geodesic
Generalized theta series and monodromy of a Casimir connection. Case of rank 1
Teoretičeskaâ i matematičeskaâ fizika, Tome 219 (2024) no. 2, pp. 201-208 Cet article a éte moissonné depuis la source Math-Net.Ru

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The monodromy of the $\mathfrak{sl}(2)$ Casimir connection is considered. It is shown that the trace of the monodromy operator over an appropriate space of flat sections gives the Jacobi theta constant and incomplete theta functions. A definition of new objects, namely, incomplete Appell–Lerch sums, is given, and their connection with the trace of the monodromy operator is revealed.
Mots-clés : Casimir connection monodromy, Verma modules
Keywords: incomplete Appell–Lerch sums. 
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E. I. Dotsenko. Generalized theta series and monodromy of a Casimir connection. Case of rank 1. Teoretičeskaâ i matematičeskaâ fizika, Tome 219 (2024) no. 2, pp. 201-208. http://geodesic.mathdoc.fr/item/TMF_2024_219_2_a0/

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