Poisson Geometry with a 3-Form Background

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概要

• 論文の詳細を見る

• We study a modification of Poisson geometry by a closed 3-form. Just as for ordinary Poisson structures, these "twisted" Poisson structures are conveniently described as Dirac structures in suitable Courant algebroids. The additive group of 2-forms acts on twisted Poisson structures and permits them to be seen as glued from ordinary Poisson structures defined on local patches. We conclude with remarks on deformation quantization and twisted symplectic groupoids.

• 理論物理学刊行会の論文
• 2002-03-29

著者

• Weinstein Alan

  Department Of Mathematics University Of California

• SEVERA Pavol

  Department of Theoretical Physics, Comenius University

• Severa Pavol

  Department Of Theoretical Physics Comenius University

関連論文

• Moments and Reduction for Symplectic Groupoids
• Classical Theta Functions and Quantum Tori
• Coisotropic calculus and Poisson groupoids
• Omni-Lie Algebras (Microlocal Analysis of the Schrodinger Equation and Related Topics)
• Poisson Geometry with a 3-Form Background
• Some questions about the index of quantized contact transformations(Geometric methods in asymptotic analysis)

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