BIRS Workshop Lecture Videos

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BIRS Workshop Lecture Videos

Periods of meromorphic quadratic differentials and Goldman bracket Korotkin, Dmitry


We study symplectic properties of monodromy map of second order linear equation with meromorphic potential having only simple zeros on a Riemann surface. We show that the canonical symplectic structure on the cotangent bundle $T^* Mcal_{g,n}$ implies under an appropriately defined monodromy 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 from the case of holomorphic to meromorphic potentials.

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