论文标题

接触歧管的变形量化

Deformation quantization of contact manifolds

论文作者

Elfimov, Boris M., Sharapov, Alexey A.

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.

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