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arXiv · 0803.4201

Three Natural Generalizations of Fedosov Quantization

Klaus Bering
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Abstract

Fedosov's simple geometrical construction for deformation quantization of symplectic manifolds is generalized in three ways without introducing new variables: (1) The base manifold is allowed to be a supermanifold. (2) The star product does not have to be of Weyl/symmetric or Wick/normal type. (3) The initial geometric structures are allowed to depend on Planck's constant.

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Klaus Bering. 2009-03-25. Three Natural Generalizations of Fedosov Quantization. https://doi.org/10.3842/sigma.2009.036

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