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math.AG2006
Poisson geometry of parabolic bundles on Elliptic curves
David Balduzzi
The moduli space of -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…
math.AG2006
Donagi-Markman cubic for Hitchin systems
David Balduzzi
The Donagi-Markman cubic is the differential of the period map for algebraic completely integrable systems. Here we prove a formula for the cubic in the case of Hitchin's system fo…