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math.SG2021
Symplectic reduction along a submanifold
Peter Crooks, Maxence Mayrand
We introduce the process of symplectic reduction along a submanifold as a uniform approach to taking quotients in symplectic geometry. This construction holds in the categories of…
math.SG2021
On the singularities of Mishchenko-Fomenko systems
Peter Crooks, Markus Röser
To each complex semisimple Lie algebra and regular element , one associates a Mishchenko-Fomenko subalgebra $\mathcal{F}_a\subseteq\ma…