Mathematics

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