Variation of geometric invariant theory quotients
Igor V. Dolgachev, Yi Hu (1998)
Publications Mathématiques de l'IHÉS
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Igor V. Dolgachev, Yi Hu (1998)
Publications Mathématiques de l'IHÉS
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We give a geometric construction of the phase space of the elliptic Calogero-Moser system for arbitrary root systems, as a space of Weyl invariant pairs (bundles, Higgs fields) on the -th power of the elliptic curve, where is the rank of the root system. The Poisson structure and the Hamiltonians of the integrable system are given natural constructions. We also exhibit a curious duality between the spectral varieties for the system associated to a root system, and the Lagrangian varieties...
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Advances in Geometry
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Graeme Segal (1968)
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