English

Quantizing Poisson Manifolds

q-alg 2008-02-03 v1 Quantum Algebra

Abstract

This paper extends Kontsevich's ideas on quantizing Poisson manifolds. A new differential is added to the Hodge decomposition of the Hochschild complex, so that it becomes a bicomplex, even more similar to the classical Hodge theory for complex manifolds.

Keywords

Cite

@article{arxiv.q-alg/9701017,
  title  = {Quantizing Poisson Manifolds},
  author = {Alexander A. Voronov},
  journal= {arXiv preprint arXiv:q-alg/9701017},
  year   = {2008}
}

Comments

7 pages, LaTeX file, submitted to the proceedings of the 1996 Joint Summer Research Conference on Quantization