English

Fedosov connections on jet bundles and deformation quantization

Quantum Algebra 2020-05-29 v1 Mathematical Physics Differential Geometry math.MP

Abstract

We review our construction of star-products on Poisson manifolds and discuss some examples. In particular, we work out the relation with Fedosov's original construction in the symplectic case.

Keywords

Cite

@article{arxiv.math/0111290,
  title  = {Fedosov connections on jet bundles and deformation quantization},
  author = {Alberto S. Cattaneo and Giovanni Felder and Lorenzo Tomassini},
  journal= {arXiv preprint arXiv:math/0111290},
  year   = {2020}
}

Comments

Contribution to the proceedings of the conference "Deformation Quantization", Strasbourg, May 31-June 2, 2001

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