Poisson geometry of parabolic bundles on Elliptic curves
David Balduzzi
Abstract
The moduli space of G-bundles on an elliptic curve with additional flag structure admits a Poisson structure. The bivector can be defined using double loop group, loop group and sheaf cohomology constructions. We investigate the links between these methods and for the case 2 perform explicit computations, describing the bracket and its leaves in detail.
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