Linear Poisson structures on R4

Poisson Structures on Orbifolds

In this paper, we compute the Gerstenhaber bracket on the Hochschild cohomology of C∞(M)⋊Γ. Using this computation, we classify all the noncommutative Poisson structures on C∞(M) ⋊ Γ when M is a symplectic manifold. We provide examples of deformation quantizations of these noncommutative Poisson structures.

Poisson Structures on Lie Algebroids

In this paper the properties of Lie algebroids with Poisson structures are investigated. We generalize some results of Fernandes [1] regarding linear contravariant connections on Poisson manifolds at the level of Lie algebroids. In the last part, the notions of complete and horizontal lifts on the prolongation of Lie algebroid are studied and their compatibility conditions are pointed out.

Quantization of Linear Poisson Structures and Degrees of Maps

1.1. Kontsevich’s quantization. Recently, Kontsevich [3] provided a deformation quantization of the algebra of functions on an arbitrary Poisson manifold. The key ingredient of his construction is the quantization formula for R, which is then extended to the case of general manifolds using formal geometry. The terms of the star product are identified with certain Feynman graphs, and their coeff...

on the effect of linear & non-linear texts on students comprehension and recalling

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Self - Similarity of Poisson Structures on Torikentaro