English

A homological approach to singular reduction in deformation quantization

Mathematical Physics 2007-05-23 v1 math.MP

Abstract

We use the method of homological quantum reduction to construct a deformation quantization on singular symplectic quotients in the situation, where the coefficients of the moment map define a complete intersection. Several examples are discussed, among others one where the singularity type is worse than an orbifold singularity.

Keywords

Cite

@article{arxiv.math-ph/0603078,
  title  = {A homological approach to singular reduction in deformation quantization},
  author = {Martin Bordemann and Hans-Christian Herbig and Markus J. Pflaum},
  journal= {arXiv preprint arXiv:math-ph/0603078},
  year   = {2007}
}

Comments

15 pages