Classification of Equivariant Star Products on Symplectic Manifolds
Quantum Algebra
2016-04-20 v1 Mathematical Physics
math.MP
Symplectic Geometry
Abstract
In this note we classify invariant star products with quantum momentum maps on symplectic manifolds by means of an equivariant characteristic class taking values in the equivariant cohomology. We establish a bijection between the equivalence classes and the formal series in the second equivariant cohomology, thereby giving a refined classification which takes into account the quantum momentum map as well.
Keywords
Cite
@article{arxiv.1507.00146,
title = {Classification of Equivariant Star Products on Symplectic Manifolds},
author = {Thorsten Reichert and Stefan Waldmann},
journal= {arXiv preprint arXiv:1507.00146},
year = {2016}
}
Comments
15 pages, no figures