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

Andrés Viña

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

Symplectic Geometry 2007-05-23 v2

Authors: Andrés Viña

Abstract

Let $\text{Ham(M)}$ be the group of Hamiltonian symplectomorphisms of a quantizable, compact, symplectic manifold $(M,\omega)$ . 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.

Keywords

group actions on manifolds symplectic geometry group actions

Cite

@article{arxiv.math/0111095,
  title  = {Symplectic action around loops in $\text{Ham}(M)$},
  author = {Andrés Viña},
  journal= {arXiv preprint arXiv:math/0111095},
  year   = {2007}
}

Comments

Expanded version. To appear in Geometriae Dedicata

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