A degeneration of the $q$-Garnier system of fourth order arises from confluences in quivers

Kazuya Matsugashita, Takao Suzuki, Satoshi Tsuchimi

The $q$-Garnier system was first proposed by Sakai and its other directions of discrete time evolutions were given by Nagao and Yamada. Recently, it was shown that all of those dir…