Mathematics – Symplectic Geometry
Scientific paper
2005-09-02
Mathematics
Symplectic Geometry
AMSTeX 2.1, 17 pages
Scientific paper
Given a Lie group G, a G-manifold M, and a point b of M with compact
stabilizer, we construct slices for the lifted tangent and cotangent actions at
a pre-image of b in terms of a slice for the G-action on M at the point b. We
interpret the slice for the lifted cotangent action in terms of a symplectic
slice and in terms of a Witt-Artin-decomposition.
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