English

Trace Functionals of the Kontsevich Quantization

Quantum Algebra 2007-05-23 v1 Symplectic Geometry

Abstract

We generalize the notion of trace to the Kontsevich quantization algebra and show that for all Poisson manifolds representable by quotients of a symplectic manifold by a Hamiltonian action of a nilpotent Lie group, the trace is given by integration with respect to a unimodular volume form.

Keywords

Cite

@article{arxiv.math/0001081,
  title  = {Trace Functionals of the Kontsevich Quantization},
  author = {Alexander Golubev},
  journal= {arXiv preprint arXiv:math/0001081},
  year   = {2007}
}

Comments

11 pages