Poisson geometry of parabolic bundles on Elliptic curves

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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 $\SL_2$ perform explicit computations, describing the bracket and its leaves in detail.
Final version: typos fixed, some re-organization; to appear IJM

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Algebraic Geometry, Symplectic Geometry, 14H60, 53D17, 53D20

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http://salesiana.dossiersoluciones.com/handle/123456789/142236

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0607061
 http://arxiv.org/abs/math/0607061

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arXiv