arXiv subjects

Egor Dotsenko

Publications and source records attributed to Egor Dotsenko.

2 recordsLinked to original sources

arXiv2025

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

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.

math-ph↗

arXiv2019

The Dynamical equations for $\mathfrak{gl}(n\vert m)$

In this note we propose a compatible set of equations which commutes with the Knizhnik-Zamolodchikov equations based on the $\mathfrak{{gl}}(n\vert m)$ symmetry algebra and establish the Matsuo-Cherednik correspondence in this context.

math-ph↗