Classical and Quantum Dynamics on Orbifolds

Symmetry Integrability and Geometry-Methods and Applications

article

Yuri A. Kordyukov¹ 

[1] Institute of Mathematics, Russian Academy of Sciences

关键词: microlocal analysis;    noncommutative geometry;    symplectic reduction;    quantization;    foliation;    orbifold;    Hamiltonian dynamics;    elliptic operators;   

DOI  :  10.3842/SIGMA.2011.106

来源: National Academy of Science of Ukraine

【 摘 要 】

We present two versions of the Egorov theorem for orbifolds. The first one is a straightforward extension of the classical theorem for smooth manifolds. The second one considers an orbifold as a singular manifold, the orbit space of a Lie group action, and deals with the corresponding objects in noncommutative geometry.

【 授权许可】

Unknown