Calogero-Moser systems and Hitchin systems

Details Calogero-Moser systems and Hitchin systems Calogero-Moser systems and Hitchin systems

1999-12-20

arxiv.org/abs/math/9912161v1

Commun.Math.Phys. 223 (2001) 533-552

Mathematics

Algebraic Geometry

22 pages, Plain Tex

Scientific paper

10.1007/s002200100546

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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