Poisson geometry of parabolic bundles on Elliptic curves

Details Poisson geometry of parabolic bundles on Elliptic curves Poisson geometry of parabolic bundles on Elliptic curves

2006-07-03

arxiv.org/abs/math/0607061v2

Mathematics

Algebraic Geometry

Final version: typos fixed, some re-organization; to appear IJM

Scientific paper

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.

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