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Slices for lifted tangent and cotangent actions

Johannes Huebschmann
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Abstract

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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Johannes Huebschmann. 2005-09-02. Slices for lifted tangent and cotangent actions. https://arxiv.org/abs/math/0509046

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