Non-exactness of toric Poisson structures

DOI10.1016/j.geomphys.2022.104645zbMath1502.53117arXiv2204.11916OpenAlexW4290829856WikidataQ114173296 ScholiaQ114173296MaRDI QIDQ2676630

Yanyan Li

Publication date: 28 September 2022

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

Full work available at URL: https://arxiv.org/abs/2204.11916

zbMATH Keywords

toric varietyPoisson structureLiouville vector fieldPoisson cohomology

Mathematics Subject Classification ID

Toric varieties, Newton polyhedra, Okounkov bodies (14M25) Poisson manifolds; Poisson groupoids and algebroids (53D17)

Cites Work

• Symplectic and Poisson geometry on \( b\)-manifolds
• Poisson Lie groups, dressing transformations, and Bruhat decompositions
• Poisson geometry
• Classical dynamical \(r\)-matrices and homogeneous Poisson structures on \(G/H\) and \(K/T\)
• Coordinates on Schubert cells, Kostant's harmonic forms, and the Bruhat Poisson structure on \(G/B\)
• The geometry of \(E\)-manifolds
• Poisson manifolds of compact types (PMCT 1)
• Quantization of the Poisson SU(2) and its Poisson homogeneous space - the 2-sphere
• Deformations of log-symplectic structures
• Toric Poisson Structures
• Desingularizing $\boldsymbol{b^m}$-Symplectic Structures

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