  We study symplectic properties of monodromy map for second order linear
equation with meromorphic potential having only simple poles on a Riemann
surface. We show that the canonical symplectic structure on the cotangent
bundle $T^*M_{g,n}$ implies the Goldman bracket on the corresponding character
variety under the monodromy map, thereby extending the recent results of the
paper of M.Bertola, C.Norton and the author from the case of holomorphic to
meromorphic potentials with simple poles.
