Poisson Geometry of Parabolic Bundles on Elliptic Curves
نویسندگان
چکیده
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 constructions and for the case of SL2 perform explicit computations, describing the bracket and its leaves in detail.
منابع مشابه
ar X iv : m at h / 06 07 06 1 v 2 [ m at h . A G ] 1 7 N ov 2 00 7 POISSON GEOMETRY OF PARABOLIC BUNDLES ON ELLIPTIC CURVES
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.
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