Poisson structures on loop spaces of \(\mathbb{C} P^n\) and an \(r\)-matrix associated with the universal elliptic curve

DOI10.1016/j.geomphys.2019.02.012zbMath1446.53066arXiv1901.07082OpenAlexW2911598530MaRDI QIDQ2422371

Alexander Odesskii

Publication date: 19 June 2019

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1901.07082

zbMATH Keywords

modular formsprojective spaceselliptic functionsPoisson structuresPoisson structures of hydrodynamic typequadratic Poisson structureselliptic \(r\)-matrix

Mathematics Subject Classification ID

Poisson manifolds; Poisson groupoids and algebroids (53D17) Elliptic curves (14H52)

Cites Work

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• Sklyanin elliptic algebras
• Algebraic geometry of Poisson brackets
• Constructions and classifications of projective Poisson varieties
• Elliptic Modular Forms and Their Applications
• Symplectic and Poisson structures on loop spaces of smooth manifolds, and integrable systems
• Elliptic algebras

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