par Klaasse, Ralph 
Référence Symmetry, integrability and geometry: methods and applications, 16, page (1-13), 121
Publication Publié, 2020
Référence Symmetry, integrability and geometry: methods and applications, 16, page (1-13), 121
Publication Publié, 2020
Article révisé par les pairs
| Résumé : | Several types of generically-nondegenerate Poisson structures can be effectively studied as symplectic structures on naturally associated Lie algebroids. Relevant examples of this phenomenon include log-, elliptic, bk-, scattering and elliptic-log Poisson structures. In this paper we discuss topological obstructions to the existence of such Poisson structures, obtained through the characteristic classes of their associated symplectic Lie algebroids. In particular we obtain the full obstructions for surfaces to carry such Poisson structures. |
