论文标题
接触歧管的变形量化
Deformation quantization of contact manifolds
论文作者
论文摘要
我们将FedOsov变形量化扩展到一般接触歧管。与符号歧管的情况不同,通常会量化接触歧管上的每个经典观察。在检查可能的量化障碍时,我们获得了一些新的接触歧管不变。
We extend Fedosov deformation quantization to general contact manifolds. Unlike the case of symplectic manifolds, not every classical observable on a contact manifold is generally quantized. On examination of possible obstructions to quantization, we obtain some new invariants of contact manifolds.