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Tagged with moment-map quotient-space
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Is the symplectic quotient $\mu^{-1}(0)/G$ unique up to something?
Given a Hamiltonian action of a compact Lie group $G$ on a symplectic manifold $(M,\omega)$, we may choose a moment map $\mu \colon M\to \mathfrak{g}^* $ and obtain the symplectic reduction $M/\!\!/G =...