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Journal Article

Poisson Geometry of Parabolic Bundles on Elliptic Curves

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http://pubman.mpdl.mpg.de/cone/persons/resource/persons83792

Balduzzi,  D
Department Empirical Inference, Max Planck Institute for Biological Cybernetics, Max Planck Society;

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Citation

Balduzzi, D. (2008). Poisson Geometry of Parabolic Bundles on Elliptic Curves. International Journal of Mathematics, 19(3), 339-367. doi:10.1142/S0129167X08004704.


Cite as: http://hdl.handle.net/11858/00-001M-0000-0013-CA2B-6
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 SL2 perform explicit computations, describing the bracket and its leaves in detail.