Obstructions for Symplectic Lie Algebroids

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2020
• Main Author: Klaasse, Ralph L.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2020
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/211098
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Obstructions for Symplectic Lie Algebroids. Ralph L. Klaasse. SIGMA 16 (2020), 121, 13 pages

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, ᵏ-, scattering, and elliptic-log Poisson structures. In this paper, we discuss topolo...