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arxiv: 0803.4201 · v9 · submitted 2008-03-31 · 🧮 math.QA · hep-th· math-ph· math.MP· math.SG

Three Natural Generalizations of Fedosov Quantization

classification 🧮 math.QA hep-thmath-phmath.MPmath.SG
keywords allowedfedosovquantizationthreebaseconstantconstructiondeformation
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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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