Titlebook: Lectures on the Geometry of Poisson Manifolds; Izu Vaisman Book 1994 Springer Basel AG 1994 Algebra.Algebroid.Theoretical physics.calculus

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Izu Vaismaniable in a multivariate feedback system. Applications to financial and economic time series data are used to investigate the effectiveness of the new index by power contribution analysis, and confirm that applying our indexation method to markets with insufficient information, such as fast-growing o

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TOXIC

An Introduction to Quantization,The present chapter is intended to provide some further important motivation for the study of the .-cohomology of Poisson manifolds. Namely, .-cohomological obstructions appear in the problem of the . of Poisson manifolds.

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光亮

Poisson Calculus, calculus here. It is based on the possibility to extend the Poisson bracket to 1-forms, as it was discovered by several authors independently [GD], [MM], etc. (See more references in [KSM2].) We shall denote by Λ. the space of differential forms of degree κ on a differentiable manifold ..

圣人

Symplectic Realizations of Poisson Manifolds,efinition 7.2, and it turns out that this idea is fruitful and very important. It can be traced back to S. Lie [Lie], and, in our era, it appears in Karasev and Maslov [Kr], [KM1,2], then made precise by Weinstein [We3].

赔偿

Poisson-Lie Groups, then, . [Dr1], [Dr2]. The latter are not really groups, but noncommutative algebras obtained by a deformation quantization (Chapter 6) of Poisson-Lie groups. From the purely geometric viewpoint it is also completely natural to define and study Poisson-Lie groups.

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