Symplectic and poisson structures with symmetries in interaction
Document typeConference report
Rights accessOpen Access
Hamiltonian actions constitute a central object of study in symplectic geometry. Special attention has been devoted to the toric case. Toric symplectic manifolds provide natural examples of integrable systems and every integrable system on a symplectic manifold is a toric manifold in a neighbourhood of a compact fiber (Arnold–Liouville). The classification of toric symplectic manifolds is given by Delzant’s theorem in terms of the image of the moment map (Delzant polytope)....
CitationMiranda, E. Symplectic and poisson structures with symmetries in interaction. A: Barcelona Mathematical Days. "Barcelona Mathematical Days : BMD2014 : Congrés de la Societat Catalana de Matemàtiques, Institut d’Estudis Catalans, Barcelona 7–8 November 2014 : schedule and abstracts". Barcelona: 2014.