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Calogero-Moser systems and Hitchin systems

J. C. Hurtubise·E. Markman
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Abstract

We exhibit the elliptic Calogero-Moser system as a Hitchin system of G-principal Higgs pairs. The group G, though naturally associated to any root system, is not semi-simple. We then interpret the Lax pairs with spectral parameter of [dP1] and [BSC1] in terms of equivariant embeddings of the Hitchin system of G into that of GL(N).

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J. C. Hurtubise, E. Markman. 1999-12-20. Calogero-Moser systems and Hitchin systems. https://doi.org/10.1007/s002200100546

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