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math.SG2021
Kostant-Souriau Prequantization
Ethan Ross
This is a report for my Master's reading project where I review some basic ideas in the theory of prequantizing a symplectic manifold. The classic proof that a symplectic manifold…
math.SG2021
Invariance of Polarization Induced by Symplectomorphisms
Ethan Ross
In this paper we define an action by the symplectomorphisms on a symplectic manifold on the space of real singular polarizations. It is then shown that under some topological condi…