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Generalized classical dynamical Yang-Baxter equations and moduli spaces of flat connections on surfaces (1407.2071v4)
Published 8 Jul 2014 in math.DG
Abstract: In this paper, we explain how generalized dynamical r-matrices can be obtained by (quasi-)Poisson reduction. New examples of Poisson structures and Poisson groupoid actions naturally appear in this setting. As an application, we use a generalized dynamical r-matrix induced by the gauge fixing procedure to give a new finite dimensional description of the Atiyah-Bott symplectic structure on the moduli space of flat connections on a surface.