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math.SG2005
Singular Poisson reduction of cotangent bundles
Simon Hochgerner, Armin Rainer
We consider the Poisson reduced space with respect to a cotangent lifted action. It is assumed that is a compact Lie group which acts by isometries on the Riemannian…
math.SG2004★ 16 cited
Singular cotangent bundle reduction and spin Calogero-Moser systems
Simon Hochgerner
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. Furthe…