A new D-level structure on parahoric torsors is introduced; its coresidue moment map yields a Poisson structure and an algebraically completely integrable Hamiltonian system that recovers Gaudin, KP solitons, and Calogero-Moser examples.
Complete integrability of the parahoric Hitchin system
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Level structures on parahoric torsors and complete integrability
A new D-level structure on parahoric torsors is introduced; its coresidue moment map yields a Poisson structure and an algebraically completely integrable Hamiltonian system that recovers Gaudin, KP solitons, and Calogero-Moser examples.