Quantization of the Momentum Map via $\frak{g}$-adapted Formalities
Quantum Algebra
2025-02-26 v1 Mathematical Physics
math.MP
Symplectic Geometry
Abstract
In this note, we provide a proof of the existence and complete classification of -invariant star products with quantum momentum maps on Poisson manifolds by means of an equivariant version of the formality theorem.
Cite
@article{arxiv.2502.18295,
title = {Quantization of the Momentum Map via $\frak{g}$-adapted Formalities},
author = {Chiara Esposito and Ryszard Nest and Jonas Schnitzer and Boris Tsygan},
journal= {arXiv preprint arXiv:2502.18295},
year = {2025}
}
Comments
36 pages; comments are welcome!