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- W2161379244 abstract "Abstract We compute the Poisson cohomology of the one-parameter family of SU(2)-covariant Poisson structures on the homogeneous space S 2=ℂP 1=SU(2)/U(1), where SU(2) is endowed with its standard Poisson–Lie group structure, thus extending the result of Ginzburg [2] on the Bruhat–Poisson structure which is a member of this family. In particular, we compute several invariants of these structures, such as the modular class and the Liouville class. As a corollary of our computation, we deduce that these structures are nontrivial deformations of each other in the direction of the standard rotation-invariant symplectic structure on S 2; another corollary is that these structures do not admit smooth rescaling." @default.
- W2161379244 created "2016-06-24" @default.
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- W2161379244 date "2002-01-01" @default.
- W2161379244 modified "2023-09-24" @default.
- W2161379244 title "Poisson Cohomology of SU(2)-Covariant Necklace Poisson Structures on S2" @default.
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- W2161379244 doi "https://doi.org/10.2991/jnmp.2002.9.3.7" @default.
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