Three Natural Generalizations of Fedosov Quantization

Details Three Natural Generalizations of Fedosov Quantization Three Natural Generalizations of Fedosov Quantization

2008-03-31

arxiv.org/abs/0803.4201v9

SIGMA 5 (2009), 036, 21 pages

Mathematics

Quantum Algebra

21 pages, LaTeX. v2,v3,v4,v5: Minor changes, v6: References added, v7,v8: Minor changes, v9: Published version

Scientific paper

10.3842/SIGMA.2009.036

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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