Symplectic action around loops in $\text{Ham}(M)$

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Let $\text{Ham(M)}$ 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 $\text{Ham(M)}$, and determine the value of this action integral on particular loops when the manifold is a coadjoint orbit.
Expanded version. To appear in Geometriae Dedicata

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Symplectic Geometry

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http://salesiana.dossiersoluciones.com/handle/123456789/62597

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0111095
 http://arxiv.org/abs/math/0111095

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arXiv