Noncommutative Hamiltonian dynamics on foliated manifolds

Author:

Kordyukov Yuri A.

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Geometry and Topology,Modelling and Simulation

Reference22 articles.

1. J. Block and E. Getzler, Quantization of foliations. In: Proceedings of the XXth International Conference on Differential Geometric Methods in Theoretical Physics, Vol. 1, 2 (New York, 1991), World Scientific., River Edge, NJ, 1992, 471–487.

2. A. Connes, Sur la théorie non commutative de l’intégration. In: Algèbres d’opérateurs (Sém., Les Plans-sur-Bex, 1978), Lecture Notes in Math. 725, Springer, Berlin, 1979, 19–143.

3. Connes A.: Noncommutative Geometry. Academic Press, San Diego, CA (1994)

4. Gerstenhaber M.: The cohomology structure of an associative ring. Ann. of Math. 78, 267–288 (1963)

5. Ginzburg V.: Non-commutative symplectic geometry, quiver varieties, and operads. Math. Res. Lett. 8, 377–400 (2001)

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1. Classical and Quantum Dynamics on Orbifolds;Symmetry, Integrability and Geometry: Methods and Applications;2011-11-23

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