The Picard-Fuchs equations, monodromies and instantons in the N = 2 SUSY gauge theories

We construct the Picard-Fuchs equations of the N = 2 supersymmetric SU(2) gauge theories with Nf = 0, 1, 3 matter multiplets. For the Nf = 0 theory from the solutions of the Picard-Fuchs equation the monodromy matrices on the quantum moduli space are determined. We analyze the Seiberg-Witten solutions to compute monodromies exactly and present the instanton expansion of the periods for the Nf = 0, 3 theories.