On the geometry of a 4-dimensional extension of a $q$-Painlevé I equation with symmetry type $A_1^{(1)}$

Alexander Stokes, Tomoyuki Takenawa, Adrian Stefan Carstea

We present a geometric study of a four-dimensional integrable discrete dynamical system which extends the autonomous form of a $q$-Painlevé I equation with symmetry of type $A_1^{…