Noncommutative Symplectic Geometry of the Endomorphism Algebra of a Vector Bundle

Details Noncommutative Symplectic Geometry of the Endomorphism Algebra of a Vector Bundle Noncommutative Symplectic Geometry of the Endomorphism Algebra of a Vector Bundle

2002-12-17

arxiv.org/abs/math/0212228v4

Mathematics

Symplectic Geometry

15 pages. This version is converted to AMS-LaTeX format. The Appendix is removed and just the material concerning the endomorp

Scientific paper

We study noncommutative generalizations of such notions of the classical symplectic geometry as degenerate Poisson structure, Poisson submanifold and quotient manifold, symplectic foliation and symplectic leaf for associative Poisson algebras. We consider these structures for the case of the endomorphism algebra of a vector bundle, and give the full description of the family of Poisson structures for this algebra.

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