q-deformed Lax equations and their differential geometric background

This book gathers mathematical features that are necessary for a rigorous apprehension of the method of q-deformation for integration of Lax equations. The choice of the developed topics is done with respect to the actual mathematical literature. This book focus on topics that are not disseminated in books, but only on research articles or preprints, and intends to serve as a reference for future developments of the method of q-deformation of Lax equations.