Quantization of the Momentum Map via $\frak{g}$-adapted Formalities

Fuente: arXiv
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Autores principales: Esposito, Chiara, Nest, Ryszard, Schnitzer, Jonas, Tsygan, Boris
Formato: Preprint
Publicado: 2025
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author Esposito, Chiara
Nest, Ryszard
Schnitzer, Jonas
Tsygan, Boris
author_facet Esposito, Chiara
Nest, Ryszard
Schnitzer, Jonas
Tsygan, Boris
contents In this note, we provide a proof of the existence and complete classification of $G$-invariant star products with quantum momentum maps on Poisson manifolds by means of an equivariant version of the formality theorem.
format Preprint
id arxiv_https___arxiv_org_abs_2502_18295
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Quantization of the Momentum Map via $\frak{g}$-adapted Formalities
Esposito, Chiara
Nest, Ryszard
Schnitzer, Jonas
Tsygan, Boris
Quantum Algebra
Mathematical Physics
Symplectic Geometry
In this note, we provide a proof of the existence and complete classification of $G$-invariant star products with quantum momentum maps on Poisson manifolds by means of an equivariant version of the formality theorem.
title Quantization of the Momentum Map via $\frak{g}$-adapted Formalities
topic Quantum Algebra
Mathematical Physics
Symplectic Geometry
url https://arxiv.org/abs/2502.18295