Singular cotangent bundle reduction and spin Calogero-Moser systems
arXiv:math/0411068
Abstract
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.
30 pages, typos and minor mistakes corrected; v3: revised version
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Cited by in corpus (9)
- Spin Calogero models obtained from dynamical r-matrices and geodesic motion
- Spin Calogero models associated with Riemannian symmetric spaces of negative curvature
- Hamiltonian reductions of free particles under polar actions of compact Lie groups
- Geometry of non-holonomic diffusion
- The Symplectic Normal Space of a Cotangent-Lifted Action
- Twisted spin Sutherland models from quantum Hamiltonian reduction
- Spinning particles in a Yang-Mills field
- Generalized spin Sutherland systems revisited
- Symmetry reduction of Brownian motion and Quantum Calogero-Moser systems