Poisson Principal Bundles

• Veröffentlicht in: Symmetry, Integrability and Geometry: Methods and Applications
• Datum: 2021
• Hauptverfasser: Majid, Shahn, Williams, Liam
• Format: Artikel
• Sprache: Englisch
• Veröffentlicht: Інститут математики НАН України 2021
• Online Zugang: https://nasplib.isofts.kiev.ua/handle/123456789/211182
• Назва журналу: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Zitieren: Poisson Principal Bundles. Shahn Majid and Liam Williams. SIGMA 17 (2021), 006, 23 pages

We semiclassicalise the theory of quantum group principal bundles to the level of Poisson geometry. The total space 𝑋 is a Poisson manifold with Poisson-compatible contravariant connection, the fibre is a Poisson-Lie group in the sense of Drinfeld with bicovariant Poisson-compatible contravariant co...