Abstract
Let Ham(M) be the group of Hamiltonian symplectomorphisms of a quantizable, compact, symplectic manifold (M, ω). We prove the existence of an action integral around loops in Ham(M), and determine the value of this action integral on particular loops when the manifold is a coadjoint orbit.
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Viña, A. Symplectic Action Around Loops In Ham(M). Geom Dedicata 109, 31–49 (2004). https://doi.org/10.1007/s10711-003-1261-6
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DOI: https://doi.org/10.1007/s10711-003-1261-6