arXiv subjects
Publications and source records attributed to Shotaro Konnai.
In this paper we construct explicit connection coefficients and monodromy representations for the canonical solution matrices of Okubo systems ${\rm II}^*$, ${\rm III}^*$, ${\rm IV}$ and ${\rm IV}^*$ of ordinary differential equations in Yokoyama's list. This work is a continuation of our previous work arXiv:1606.07187.
In this paper, we determine the connection coefficients for Okubo's canonical solution matrix of types ${\rm I}$, ${\rm I}^*$, ${\rm II}$ and ${\rm III}$ in Yokoyama's list.To solve these problems, we investigate a special type of Katz operations for Okubo systems. These operations are used for explicit constructing Okubo systems and their monodromy representations We construct Okubo system and monodromy representations. We further apply their results to the connection problem for canonical solution matrices.