Geometry of Poisson structures.

Giunashvili, Z.

Displaying similar documents to “Geometry of Poisson structures.”

Poisson algebras of spinor functions.

Kaplan, Aroldo, Saal, Linda, Tiraboschi, Alejandro (2003)

Journal of Lie Theory

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Veronese webs for bihamiltonian structures of higher corank

Andriy Panasyuk (2000)

Banach Center Publications

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Normal forms of vector fields on Poisson manifolds

Philippe Monnier, Nguyen Tien Zung (2006)

Annales mathématiques Blaise Pascal

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We study formal and analytic normal forms of radial and Hamiltonian vector fields on Poisson manifolds near a singular point.

Multi-Hamiltonian structures on Beauville's integrable system and its variant.

Inoue, Rei, Konishi, Yukiko (2007)

SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]

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Formality theorems: from associators to a global formulation

Gilles Halbout (2006)

Annales mathématiques Blaise Pascal

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Let $M$ be a differential manifold. Let $Φ$ be a Drinfeld associator. In this paper we explain how to construct a global formality morphism starting from $Φ$ . More precisely, following Tamarkin’s proof, we construct a Lie homomorphism “up to homotopy" between the Lie algebra of Hochschild cochains on $C^{\infty} (M)$ and its cohomology $(Γ (M, Λ T M), {[-, -]}_{S}$ ). This paper is an extended version of a course given 8 - 12 March 2004 on Tamarkin’s works. The reader will find explicit examples, recollections on $G_{\infty}$ -structures, explanation...