Singular cotangent bundle reduction and spin Calogero-Moser systems

Details Singular cotangent bundle reduction and spin Calogero-Moser systems Singular cotangent bundle reduction and spin Calogero-Moser systems

2004-11-03

arxiv.org/abs/math/0411068v3

Differential Geometry and its Applications, Volume 26, Issue 2, April 2008, Pages 169-192

Mathematics

Symplectic Geometry

30 pages, typos and minor mistakes corrected; v3: revised version

Scientific paper

We develop a bundle picture for the case that the configuration manifold has
only a single isotropy type, and give a formula for the reduced symplectic form
in this setting. Furthermore, as an application of this bundle picture we
consider Calogero-Moser systems with spin associated to polar representations
of compact Lie groups.

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